Differential Equations

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