I just don't get this, could someone help me out?
Solve the given differential equations by separation of variables.
b) (e^x)y dy/dx= (e^-y) + (e^-2x-y)
thank you so much for your help
In order to solve these equations, you need to separate the two variables to different sides of the equation along with their respective differentials (the dy or dx, you can move them around like any other number or variable). That's why they're called "separable" diff eqs. Mathstud showed you how to do it for the first problem. You follow the same path for solving the second one.