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Differential Equations

This free online differential equations course teaches several methods to solve first order and second order differential equations. The course consists of 36 tutorials which cover material typically found in a differential equations course at the university level. 

In order to gain a comprehensive understanding of the subject, you should start at the top and work your way down the list. That way you will start learning the most basic concepts first and build off of those as you progress through the course.
Differential Equations

First Order Differential Equations

1. What is a differential equation
2. How to classify differential equations
3. General solutions and initial value problems
​
4. How to solve a first order linear differential equation with integrating factors
5. First order linear differential equation example #1
6. First order linear differential equation example #2

7. How to solve separable differential equations
8. Separable differential equation example #1
9. Separable differential equation example #2

10. How to solve Bernoulli differential equations
11. Bernoulli differential equation example #1
12. Bernoulli differential equation example #2

13. How to solve exact differential equations
14. Exact differential equation example #1
15. Exact differential equation example #2

16. How to solve non-exact differential equations with an integrating factor
17. Non-exact differential equation example #1
18. Find m and n such that (x^n)(y^m) is an integrating factor

19. Euler's method for differential equations
20. Euler's method example #1
21. Euler's method example #2: calculating error of the approximation

Second Order Differential Equations

22. Characteristic equation and general solution of a linear second order DE
23. Characteristic equation example #1: real distinct roots
24. Characteristic equation example #2: real repeated roots
25. Characteristic equation example #3: complex roots

26. Fundamental solution set and wronskian

27. Reduction of order method

28. Reduction of order example

29. Undetermined coefficients method
30. Undetermined coefficients example #1

31. Undetermined coefficients example #2
32. Undetermined coefficients example #3


33. Variation of parameters method
34. Variation of parameters example #1

35. Variation of parameters example #2
36. Variation of parameters example #3



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  • Home
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  • Calculus 1
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  • Differential Equations
  • Dynamics
  • Linear Algebra
  • Mechanics of Materials
  • Project Management
  • Statics
  • Structural Analysis