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Title A Complete First Course in Differential Equations
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Size 4.19GB

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1.1 make_handouts_4page.pdf.pdf 1.51MB
1. Higher Order Differential Equations.mp4 6.56MB
1. Higher Order Differential Equations.vtt 4.92KB
1. Intro. Ex. of First Order Nonlinear DEs Equilibriums, Stability, Maple!.mp4 71.01MB
1. Intro. Ex. of First Order Nonlinear DEs Equilibriums, Stability, Maple!.vtt 21.68KB
1. Intro to Euler's Method.mp4 44.68MB
1. Intro to Euler's Method.vtt 18.56KB
1. Object falling under the force of gravity.mp4 7.50MB
1. Object falling under the force of gravity.vtt 7.99KB
1. Partial Differential Equations and Fourier Series Template Slides.pdf 172.69KB
1. Power Series Template Slides.pdf 169.63KB
1. Slides for This Chapter.pdf 170.01KB
1. Slope Fields and Solution Curves.mp4 25.13MB
1. Slope Fields and Solution Curves.vtt 12.37KB
1. The Laplace Transform.mp4 10.76MB
1. The Laplace Transform.vtt 5.65KB
10. Accuracy of Euler Method.mp4 35.70MB
10. Accuracy of Euler Method.vtt 10.78KB
10. Differential Equation for Mixing Problems.mp4 16.85MB
10. Differential Equation for Mixing Problems.vtt 8.67KB
10. Hopf Bifurcation Part 2.mp4 71.39MB
10. Hopf Bifurcation Part 2.vtt 20.33KB
10. Quiz - Fourier Series.pdf 68.26KB
10. Singular Points. Regular Singular Points. Euler's Differential Equation.mp4 41.22MB
10. Singular Points. Regular Singular Points. Euler's Differential Equation.vtt 17.01KB
10. Solving Differential Equations with Laplace Transform.mp4 8.88MB
10. Solving Differential Equations with Laplace Transform.vtt 6.71KB
10. Theory of Higher Order Equations.mp4 15.82MB
10. Theory of Higher Order Equations.vtt 9.35KB
11. Accuracy of Implicit Trapezoid Method.mp4 26.58MB
11. Accuracy of Implicit Trapezoid Method.vtt 8.05KB
11. Euler's Differential Equation Continued.mp4 29.28MB
11. Euler's Differential Equation Continued.vtt 11.51KB
11. Fourier Series of Piecewise Continuous Function.mp4 63.65MB
11. Fourier Series of Piecewise Continuous Function.vtt 24.51KB
11. Hopf Bifurcation Part 2.mp4 68.72MB
11. Hopf Bifurcation Part 2.vtt 18.64KB
11. Mixing Problem Example.mp4 14.96MB
11. Mixing Problem Example.vtt 7.08KB
11. Partial Fractions to Invert Transforms.mp4 17.77MB
11. Partial Fractions to Invert Transforms.vtt 11.28KB
11. Solving Second Order Equations with Constant Coefficients.mp4 5.13MB
11. Solving Second Order Equations with Constant Coefficients.vtt 3.40KB
12. Exact Differential Equations.mp4 12.05MB
12. Exact Differential Equations.vtt 6.63KB
12. First Translation Theorem.mp4 8.54MB
12. First Translation Theorem.vtt 5.15KB
12. Fourier Series - Convergence.mp4 44.94MB
12. Fourier Series - Convergence.vtt 13.24KB
12. Frobenius Series Solutions and Beginning of Example.mp4 44.17MB
12. Frobenius Series Solutions and Beginning of Example.vtt 14.26KB
12. Hints for an assignment #7. Random Review Stuff. For Students in Math 3120.mp4 80.45MB
12. Hints for an assignment #7. Random Review Stuff. For Students in Math 3120.vtt 20.70KB
12. Second Order Equations with Constant Coefficients Distinct Roots.mp4 4.30MB
12. Second Order Equations with Constant Coefficients Distinct Roots.vtt 3.93KB
13. Coding Implicit Trapezoid.mp4 37.66MB
13. Coding Implicit Trapezoid.vtt 10.14KB
13. Cosine and Sine Fourier Series - Even and Odd Extensions.mp4 59.21MB
13. Cosine and Sine Fourier Series - Even and Odd Extensions.vtt 18.17KB
13. Exact Differential Equation Example 1.mp4 18.52MB
13. Exact Differential Equation Example 1.vtt 8.04KB
13. First Translation Theorem Inverting Transforms.mp4 11.04MB
13. First Translation Theorem Inverting Transforms.vtt 7.06KB
13. Frobenius Series Solution Roots Differing by Non Integer.mp4 39.27MB
13. Frobenius Series Solution Roots Differing by Non Integer.vtt 13.08KB
13. Solving Second Order Equations with Constant Coefficients 1 Root.mp4 5.88MB
13. Solving Second Order Equations with Constant Coefficients 1 Root.vtt 4.02KB
14. Exact Differential Equation Example 2.mp4 19.30MB
14. Exact Differential Equation Example 2.vtt 8.92KB
14. First Translation Theorem Inverting Transforms Completing Square.mp4 10.28MB
14. First Translation Theorem Inverting Transforms Completing Square.vtt 7.27KB
14. Frobenius Series Roots Differing by an Integer - 2 Frobenius Solutions.mp4 13.50MB
14. Frobenius Series Roots Differing by an Integer - 2 Frobenius Solutions.vtt 4.55KB
14. Heun's Method.mp4 9.71MB
14. Heun's Method.vtt 4.46KB
14. Removing Inhomogeneous Terms in PDE Heat Equation.mp4 62.36MB
14. Removing Inhomogeneous Terms in PDE Heat Equation.vtt 21.10KB
14. Solving Second Order Equations with Constant Coefficients Complex Roots.mp4 16.97MB
14. Solving Second Order Equations with Constant Coefficients Complex Roots.vtt 9.02KB
15. Introduction to Substitution Methods.mp4 9.90MB
15. Introduction to Substitution Methods.vtt 6.05KB
15. Method of Reduction.mp4 17.43MB
15. Method of Reduction.vtt 9.72KB
15. Removing Inhomogeneous Terns in Boundary Conditions Heat Equation.mp4 17.53MB
15. Removing Inhomogeneous Terns in Boundary Conditions Heat Equation.vtt 7.30KB
15. Roots Differing by an Integer - 1 Frobenius Solution Continued.mp4 51.48MB
15. Roots Differing by an Integer - 1 Frobenius Solution Continued.vtt 18.84KB
15. Runge Kutta (RK2) Derivation.mp4 55.77MB
15. Runge Kutta (RK2) Derivation.vtt 19.95KB
15. Second Translation Theorem.mp4 6.16MB
15. Second Translation Theorem.vtt 3.57KB
16. Frobenius Series Roots Differing by an Integer- 1 Frobenius Solution.mp4 24.53MB
16. Frobenius Series Roots Differing by an Integer- 1 Frobenius Solution.vtt 9.65KB
16. Higher Order Equations Distinct Real Roots.mp4 5.36MB
16. Higher Order Equations Distinct Real Roots.vtt 4.07KB
16. Homogenous Differential Equations.mp4 11.99MB
16. Homogenous Differential Equations.vtt 8.34KB
16. Piecewise Continuous Functions with Unit Step Functiond.mp4 15.24MB
16. Piecewise Continuous Functions with Unit Step Functiond.vtt 5.57KB
16. Runge Kutta (RK4) Method.mp4 67.13MB
16. Runge Kutta (RK4) Method.vtt 17.30KB
16. Wave Equation.mp4 57.62MB
16. Wave Equation.vtt 21.67KB
17. Higher Order Equations Repeated Real Roots.mp4 6.62MB
17. Higher Order Equations Repeated Real Roots.vtt 4.96KB
17. Homogeneous Differential Equation Example 1.mp4 12.58MB
17. Homogeneous Differential Equation Example 1.vtt 7.22KB
17. Laplace Transform of Piecewise Continuous Functions.mp4 7.74MB
17. Laplace Transform of Piecewise Continuous Functions.vtt 3.47KB
17. Quiz Frobenius Series.pdf 47.43KB
17. Review of some Numerical Stability Concepts and the Methods we have looked at.mp4 24.32MB
17. Review of some Numerical Stability Concepts and the Methods we have looked at.vtt 9.11KB
18. Higher Order Equations Distinct Complex Roots.mp4 3.50MB
18. Higher Order Equations Distinct Complex Roots.vtt 2.10KB
18. Homogeneous Differential Equation Example 2.mp4 3.97MB
18. Homogeneous Differential Equation Example 2.vtt 2.53KB
18. Laplace Transform of Piecewise Continuous Functions.mp4 14.62MB
18. Laplace Transform of Piecewise Continuous Functions.vtt 4.58KB
18. Method of Reduction with Frobenius Series.mp4 20.08MB
18. Method of Reduction with Frobenius Series.vtt 6.79KB
18. Polynomial Interpolation (Vandermonde Matrix).mp4 27.12MB
18. Polynomial Interpolation (Vandermonde Matrix).vtt 10.19KB
19. Bernoulli Differential Equations.mp4 10.86MB
19. Bernoulli Differential Equations.vtt 6.44KB
19. Higher Order Equations Repeated Complex Roots.mp4 5.09MB
19. Higher Order Equations Repeated Complex Roots.vtt 3.91KB
19. Method of Reduction with Frobenius Series Continued.mp4 58.39MB
19. Method of Reduction with Frobenius Series Continued.vtt 18.67KB
19. Newton Divided Difference Polynomial Interpolation.mp4 40.90MB
19. Newton Divided Difference Polynomial Interpolation.vtt 15.66KB
19. Solving an IVP with a Piecewise continuous Non-homogenous Term.mp4 44.30MB
19. Solving an IVP with a Piecewise continuous Non-homogenous Term.vtt 16.58KB
2. Euler's Method Example (by hand).mp4 32.78MB
2. Euler's Method Example (by hand).vtt 14.00KB
2. Existence and Uniqueness for first order Differential Equations.mp4 17.63MB
2. Existence and Uniqueness for first order Differential Equations.vtt 9.67KB
2. Intro. Ex. of First Order DEs Equilibriums, Stability, Maple! Continued....mp4 46.48MB
2. Intro. Ex. of First Order DEs Equilibriums, Stability, Maple! Continued....vtt 16.58KB
2. Intro to PDEs.mp4 52.18MB
2. Intro to PDEs.vtt 26.60KB
2. Laplace Transform Example Unit Step Function.mp4 6.95MB
2. Laplace Transform Example Unit Step Function.vtt 4.73KB
2. Linear Differential Operators.mp4 5.59MB
2. Linear Differential Operators.vtt 3.73KB
2. Object falling under the force of gravity and air resistance.mp4 4.10MB
2. Object falling under the force of gravity and air resistance.vtt 4.53KB
2. Review of Second Order Equations (Constant Coefficients) and Power Series.mp4 45.95MB
2. Review of Second Order Equations (Constant Coefficients) and Power Series.vtt 16.23KB
2. Self Adjoint Operators.mp4 68.58MB
2. Self Adjoint Operators.vtt 24.75KB
20. Backward Differentiation BDF1.mp4 28.33MB
20. Backward Differentiation BDF1.vtt 16.44KB
20. Higher Order Equations Example With All Cases.mp4 5.39MB
20. Higher Order Equations Example With All Cases.vtt 3.25KB
20. Quiz Frobenius and Reduction of Order.pdf 55.40KB
20. Reduction of a Second Order Differential Equation to a First Order One.mp4 13.22MB
20. Reduction of a Second Order Differential Equation to a First Order One.vtt 9.18KB
20. Solving an IVP with a Piecewise continuous Non-homogenous Term.mp4 35.20MB
20. Solving an IVP with a Piecewise continuous Non-homogenous Term.vtt 10.74KB
21. Assignment #1.pdf 337.08KB
21. Assignment 4.pdf 83.80KB
21. Backward Differentiation BDF2.mp4 28.12MB
21. Backward Differentiation BDF2.vtt 11.96KB
21. Nonhomogenous Differential Equations.mp4 7.78MB
21. Nonhomogenous Differential Equations.vtt 3.95KB
22. Derivatives of Transforms.mp4 20.44MB
22. Derivatives of Transforms.vtt 6.65KB
22. Method of Undetermined Coefficients Example 1.mp4 13.56MB
22. Method of Undetermined Coefficients Example 1.vtt 8.13KB
23. Laplace Transform of Piecewise Periodic Functions.mp4 14.08MB
23. Laplace Transform of Piecewise Periodic Functions.vtt 4.36KB
23. Method of Undetermined Coefficients Example 2.mp4 5.07MB
23. Method of Undetermined Coefficients Example 2.vtt 3.76KB
24. Method of Undetermined Coefficients Example 3.mp4 8.78MB
24. Method of Undetermined Coefficients Example 3.vtt 6.42KB
24. Solving an IVP with a Piecewise Periodic Non-homogenous Term.mp4 39.55MB
24. Solving an IVP with a Piecewise Periodic Non-homogenous Term.vtt 10.46KB
25. Method of Undetermined Coefficients Avoiding Duplication.mp4 13.04MB
25. Method of Undetermined Coefficients Avoiding Duplication.vtt 7.92KB
25. The Dirac Delta Function.mp4 32.38MB
25. The Dirac Delta Function.vtt 10.87KB
26. Method of Undetermined Coefficients In General.mp4 11.11MB
26. Method of Undetermined Coefficients In General.vtt 3.99KB
26. Solving an IVP with a Delta Function Term.mp4 23.45MB
26. Solving an IVP with a Delta Function Term.vtt 8.76KB
27. Method of Undetermined Coefficients Example 4.mp4 16.25MB
27. Method of Undetermined Coefficients Example 4.vtt 8.36KB
27. Solving an IVP with Multiple Delta Function Term.mp4 12.80MB
27. Solving an IVP with Multiple Delta Function Term.vtt 5.37KB
28. Method of Undetermined Coefficients Example 5.mp4 10.78MB
28. Method of Undetermined Coefficients Example 5.vtt 7.61KB
28. The Convolution Theorem.mp4 16.56MB
28. The Convolution Theorem.vtt 6.21KB
29. Convolution Theorem Finding Integral Solutions.mp4 8.07MB
29. Convolution Theorem Finding Integral Solutions.vtt 3.92KB
29. Method of Undetermined Coefficients Example 6.mp4 8.16MB
29. Method of Undetermined Coefficients Example 6.vtt 4.45KB
3. Euler's Method in Maple.mp4 20.06MB
3. Euler's Method in Maple.vtt 8.50KB
3. Laplace Transform Example First Derivative.mp4 6.31MB
3. Laplace Transform Example First Derivative.vtt 4.12KB
3. Logistic growth with constant harvest, equilib. points, stability, bifurcation.mp4 53.82MB
3. Logistic growth with constant harvest, equilib. points, stability, bifurcation.vtt 19.92KB
3. Motion of a mass on a spring.mp4 9.27MB
3. Motion of a mass on a spring.vtt 7.06KB
3. Principal of Superposition.mp4 9.74MB
3. Principal of Superposition.vtt 5.31KB
3. Regular Sturm-Liouville Eigenvalue Problems.mp4 34.43MB
3. Regular Sturm-Liouville Eigenvalue Problems.vtt 13.53KB
3. Separable Differential Equations.mp4 8.58MB
3. Separable Differential Equations.vtt 6.13KB
3. Separation of Variables Heat Equation - Zero B.C..mp4 33.93MB
3. Separation of Variables Heat Equation - Zero B.C..vtt 19.53KB
3. Solving Airy's Differential Equation with Power Series Solution.mp4 51.10MB
3. Solving Airy's Differential Equation with Power Series Solution.vtt 23.28KB
30. Assignment 2.pdf 76.52KB
30. Convolution Theorem Finding Integral Solutions.mp4 14.05MB
30. Convolution Theorem Finding Integral Solutions.vtt 6.50KB
31. Assignment 5.pdf 131.87KB
31. Reduction of Order The General Formula.mp4 13.53MB
31. Reduction of Order The General Formula.vtt 7.84KB
32. Reduction of Order An Example.mp4 5.88MB
32. Reduction of Order An Example.vtt 4.17KB
33. Variation of Parameters.mp4 26.46MB
33. Variation of Parameters.vtt 13.43KB
34. Variation of Parameters An Example.mp4 9.22MB
34. Variation of Parameters An Example.vtt 4.33KB
35. Assignment 3.pdf 100.49KB
4. Euler's Method in Excel.mp4 15.07MB
4. Euler's Method in Excel.vtt 7.01KB
4. Existence and Uniqueness Theorem.mp4 4.07MB
4. Existence and Uniqueness Theorem.vtt 3.50KB
4. Heat Equation - Zero B.C. - Sine Fourier Series.mp4 40.57MB
4. Heat Equation - Zero B.C. - Sine Fourier Series.vtt 19.85KB
4. Laplace Transform Example Second Derivative.mp4 4.40MB
4. Laplace Transform Example Second Derivative.vtt 2.71KB
4. Logistic growth with constant harvest, numerical solve Maple.mp4 13.84MB
4. Logistic growth with constant harvest, numerical solve Maple.vtt 4.44KB
4. Plotting Solutions of Airy's DE and using Maple to find Series Solutions.mp4 77.59MB
4. Plotting Solutions of Airy's DE and using Maple to find Series Solutions.vtt 24.64KB
4. Regular Sturm-Liouville Operator is Self Adjoint.mp4 40.59MB
4. Regular Sturm-Liouville Operator is Self Adjoint.vtt 15.91KB
4. RLC Circuits.mp4 21.36MB
4. RLC Circuits.vtt 7.44KB
4. Separable Differential Equation Examples.mp4 6.78MB
4. Separable Differential Equation Examples.vtt 5.25KB
5. Euler's Method In Maple (Another Example) and Dsolve Numeric in Maple.mp4 51.65MB
5. Euler's Method In Maple (Another Example) and Dsolve Numeric in Maple.vtt 12.05KB
5. Existence of the Laplace Transform.mp4 12.36MB
5. Existence of the Laplace Transform.vtt 8.19KB
5. Finding a Power Series Solution, Using Maple as well, Ordinary Points.mp4 53.68MB
5. Finding a Power Series Solution, Using Maple as well, Ordinary Points.vtt 18.90KB
5. Heat Equation - Zero B.C. - Sine Fourier Series Continued.mp4 57.02MB
5. Heat Equation - Zero B.C. - Sine Fourier Series Continued.vtt 21.64KB
5. Logistic periodic harvesting, equilibrium and stability defn. for systems.mp4 56.57MB
5. Logistic periodic harvesting, equilibrium and stability defn. for systems.vtt 19.04KB
5. Motion of a simple pendulum.mp4 8.24MB
5. Motion of a simple pendulum.vtt 5.91KB
5. Newtons Law of Cooling.mp4 9.55MB
5. Newtons Law of Cooling.vtt 7.02KB
5. Regular Sturm-Liouville Orthogonal Eigen Functions and Real Eigenvalues.mp4 32.74MB
5. Regular Sturm-Liouville Orthogonal Eigen Functions and Real Eigenvalues.vtt 13.92KB
5. The Wronskian Determinant.mp4 19.66MB
5. The Wronskian Determinant.vtt 8.40KB
6. General Solutions of Second Order Linear Homogenous Equations.mp4 15.38MB
6. General Solutions of Second Order Linear Homogenous Equations.vtt 8.67KB
6. Laplace Transform Example Exponential Function.mp4 2.94MB
6. Laplace Transform Example Exponential Function.vtt 2.00KB
6. More Differential Equation Models.mp4 14.93MB
6. More Differential Equation Models.vtt 10.73KB
6. Newtons Law of Cooling Homicide Victim Example.mp4 12.97MB
6. Newtons Law of Cooling Homicide Victim Example.vtt 4.96KB
6. Ordinary Points. Chebyshev's Differential Equation.mp4 48.59MB
6. Ordinary Points. Chebyshev's Differential Equation.vtt 22.24KB
6. Regular Sturm-Liouville Theorem and Eigen Function Expansions.mp4 37.84MB
6. Regular Sturm-Liouville Theorem and Eigen Function Expansions.vtt 12.79KB
6. Review of Linear Systems Phase Portraits.mp4 111.85MB
6. Review of Linear Systems Phase Portraits.vtt 21.31KB
6. Sine Fourier Series Continued and Heat Equation.mp4 31.22MB
6. Sine Fourier Series Continued and Heat Equation.vtt 10.53KB
6. Stability of Euler's Method Part 1.mp4 13.16MB
6. Stability of Euler's Method Part 1.vtt 7.08KB
7. Converting DEs to Sturm Liouville FOrm.mp4 33.06MB
7. Converting DEs to Sturm Liouville FOrm.vtt 12.77KB
7. Defining and Classifying Differential Equations.mp4 17.43MB
7. Defining and Classifying Differential Equations.vtt 14.16KB
7. Heat Equation - Zero Flux B.C. - Cosine Fourier Series.mp4 54.10MB
7. Heat Equation - Zero Flux B.C. - Cosine Fourier Series.vtt 21.87KB
7. Laplace Transform Example Cosine, Sine, Hyperbolic Cosine and Sine.mp4 15.08MB
7. Laplace Transform Example Cosine, Sine, Hyperbolic Cosine and Sine.vtt 5.84KB
7. Linearization of Nonlinear System - Jacobian - Example as well.mp4 62.62MB
7. Linearization of Nonlinear System - Jacobian - Example as well.vtt 21.18KB
7. Previous Video Continued Chebyshev Polynomials.mp4 15.88MB
7. Previous Video Continued Chebyshev Polynomials.vtt 5.99KB
7. Stability of Euler's Method Part 2.mp4 42.83MB
7. Stability of Euler's Method Part 2.vtt 14.01KB
7. Summary of Theory for Second Order Homogenous Equations.mp4 4.35MB
7. Summary of Theory for Second Order Homogenous Equations.vtt 2.32KB
7. Torricellis Law.mp4 15.51MB
7. Torricellis Law.vtt 8.73KB
8. BackwardImplicit Euler Part 1.mp4 82.94MB
8. BackwardImplicit Euler Part 1.vtt 23.22KB
8. Equilibrium Points, Stability, Phase Portrait, Numerical Solution in Maple.mp4 67.17MB
8. Equilibrium Points, Stability, Phase Portrait, Numerical Solution in Maple.vtt 16.15KB
8. Heat Equation - Periodic B.C. General Fourier Series.mp4 43.35MB
8. Heat Equation - Periodic B.C. General Fourier Series.vtt 17.97KB
8. Linear Independence and the Wronskian.mp4 23.12MB
8. Linear Independence and the Wronskian.vtt 10.73KB
8. Quiz Power Series Solution about Ordinary Point.pdf 73.21KB
8. Solutions of Differential Equations.mp4 8.46MB
8. Solutions of Differential Equations.vtt 6.45KB
8. Sturm Liouville Example with Euler's Equation.mp4 44.11MB
8. Sturm Liouville Example with Euler's Equation.vtt 21.43KB
8. The Inverse Laplace Transform.mp4 6.39MB
8. The Inverse Laplace Transform.vtt 4.09KB
8. Torricellis Law Example.mp4 19.70MB
8. Torricellis Law Example.vtt 10.71KB
9. Equilibrium Points, Stability, Phase Portrait, Numerical Solution in Maple.mp4 58.65MB
9. Equilibrium Points, Stability, Phase Portrait, Numerical Solution in Maple.vtt 16.88KB
9. Explicit and Implicit Solutions.mp4 5.06MB
9. Explicit and Implicit Solutions.vtt 3.67KB
9. Fourier Series Continued.mp4 53.12MB
9. Fourier Series Continued.vtt 17.40KB
9. Implicit Trapezoid Stability.mp4 57.04MB
9. Implicit Trapezoid Stability.vtt 19.86KB
9. Linear First Order Differential Equations.mp4 20.04MB
9. Linear First Order Differential Equations.vtt 11.86KB
9. Nonhomogenous Sturm Liouville Problem.mp4 48.12MB
9. Nonhomogenous Sturm Liouville Problem.vtt 19.39KB
9. Quiz Solution Power Series Solution about Ordinary Point.pdf 368.02KB
9. Solving Differential Equations with Laplace Transform.mp4 12.91MB
9. Solving Differential Equations with Laplace Transform.vtt 10.44KB
9. Wronskian of Solutions.mp4 13.88MB
9. Wronskian of Solutions.vtt 6.83KB
Must Read.txt 540B
ReadMe.txt 538B
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ReadMe.txt 538B
ReadMe.txt 538B
Visit Coursedrive.org.url 124B
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