Final Exam Review | Differential Equations | Review 1

This is the first of a series of reviews for the final exam of a differential equation course.

Topics line up
0:00 Intro
6:04 Verifying solutions
29:26 Four fundamental equations
33:14 Classifying differential equations
47:52 Basic Integration
1:02:08 Separation of variable method
1:12:13 Integration factor method
1:29:38 Direct substitution method
1:38:40 Homogeneous equation
1:49:03 Bernoulli's equation
2:02:29 Exact equation
2:21:13 Almost-exact equation
2:32:56 Numerical Methods
2:34:20 Euler's method
2:46:12 Runge-Kutta method
2:50:54 Directional fields
3:00:58 Existence and Uniqueness Theorem
3:08:28 Autonomous equation

Thank you for watching

#FinalExamReview #DifferentialEquations #Mathematics

[MathTutor]

These are all the topics in these reviews

Review 1 (1st order diff. Eq)
Verifying solutions 6:04
Four fundamental equations 29:26
Classifying differential equations 33:14
Basic Integration 47:52
Separation of variable method 1:02:08
Integration factor method 1:12:13
Direct substitution method 1:29:38
Homogeneous equation 1:38:40
Bernoulli's equation 1:49:03
Exact Equations 2:02:29
Almost-exact equation 2:21:13
Euler's method 2:34:20
Runge-Kutta method 2:46:12
Directional fields 2:50:54
Existence and Uniqueness Theorem 3:00:58
Autonomous equation 3:08:28

Review 2 (2nd order differential equations)

Review 3 (Series solution, Laplace Trans. and Systems)
Series Solution Method
Laplace transform method

Good luck with all your exams!

[MathTutor]

Topics line up
0:00 Intro
6:04 Verifying solutions
29:26 Four fundamental equations
33:14 Classifying differential equations
47:52 Basic Integration
1:02:06 Table of common integrals (link)
1:02:08 Separation of variable method
1:12:13 Integration factor method
1:29:38 Direct substitution method
1:38:40 Homogeneous equation
1:49:03 Bernoulli's equation
2:02:29 Exact equation
2:21:13 Almost-exact equation
2:32:20 All-In-One review (link)
2:32:56 Numerical Methods
2:34:20 Euler's method
2:46:12 Runge-Kutta method
2:50:54 Directional fields
3:00:58 Existence and Uniqueness Theorem
3:08:28 Autonomous equation

[snjboms]

Thank you for doing this. This really helps.

[trabadab]

1:35:39 Why is it not (1/2)tan^-1(u/2) ? If a is 2

[laralamagadeltuocuore]

Also shouldn’t all terms in the Bernoulli equation be multiplied by 2 when wanting to get -v’ back by itself?

[cassied]

Thank you for your hard work in setting this up for students and for the helpful comments about the topics