Differential equations (Fall 2021) -- Session 08 -- Substitution to simplify

0:00 Introduction
0:38 Substitution; case of y'=F(ax+by+c)
7:02 Example involving substitution of y'=F(ax+by+c)
12:38 Homogeneous differential equation; y'=F(y/x)
19:23 Example involving homogeneous equation
24:47 Example involving homogeneous equation
37:11 Example involving substitution u=x+h and y=v+k
58:56 Bernoulli equation (substitution of z=y^(1-n))
1:03:49 Example involving Bernoulli equation
1:10:00 Example involving Bernoulli equation
1:15:18 Substitution to go from second-order to first-order
1:21:27 Example of going from second-order to first-order with no y
1:25:09 Example of going from second-order to first-order with no x
1:30:52 Example of other substitution (looking for "derivative")
1:37:58 Example of other substitution

[ghost-dxjw]

Do you have any tips for doing better in this class? I am not doing very good (I have figured out some things to help me do better but any advice is appreciated).