Khan Academy

Khan Academy

Differential Equations

Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus playlist before starting here.

1. Introduction to differential equations
2. Separable Differential Equations
3. Separable differential equations 2
4. Exact Equations Intuition 1 (proofy)
5. Exact Equations Intuition 2 (proofy)
6. Exact Equations Example 1
7. Exact Equations Example 2
8. Exact Equations Example 3
9. Integrating factors 1
10. Integrating factors 2
11. First order homegenous equations
12. First order homogenous equations 2
13. 2nd Order Linear Homogeneous Differential Equations 1
14. 2nd Order Linear Homogeneous Differential Equations 2
15. 2nd Order Linear Homogeneous Differential Equations 3
16. 2nd Order Linear Homogeneous Differential Equations 4
17. Complex roots of the characteristic equations 1
18. Complex roots of the characteristic equations 2
19. Complex roots of the characteristic equations 3
20. Repeated roots of the characteristic equation
21. Repeated roots of the characterisitic equations part 2
22. Undetermined Coefficients 1
23. Undetermined Coefficients 2
24. Undetermined Coefficients 3
25. Undetermined Coefficients 4
26. Laplace Transform 1
27. Laplace Transform 2
28. Laplace Transform 3 (L{sin(at)})
29. Laplace Transform 4
30. Laplace Transform 5
31. Laplace Transform 6
32. Laplace Transform to solve an equation
33. Laplace Transform solves an equation 2
34. More Laplace Transform tools
35. Using the Laplace Transform to solve a nonhomogenous eq
36. Laplace Transform of : L{t}
37. Laplace Transform of t^n: L{t^n}
38. Laplace Transform of the Unit Step Function
39. Inverse Laplace Examples
40. Laplace/Step Function Differential Equation
41. Dirac Delta Function
42. Laplace Transform of the Dirac Delta Function
43. Introduction to the Convolution
44. The Convolution and the Laplace Transform
45. Using the Convolution Theorem to Solve an Initial Value Prob

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