# Differential Equations

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Differential equations allow you to calculate the rate of change in one variable compared to other variables. Created by Khan Academy.

Recommended that you have a strong foundation in Calculus before taking this course.

###### Average Course Length

10 hours

###### Skill Level

Intermediate

##### Pick a lesson

1: What is a differential equation

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