Question

Find the general solution of the following differential equation? y'= ye^x - y

Answer 1

`ln|y|=e^x-x+c`

Explanation:

`y'=ye^x-y`

`=>(dy)/(dx)=y(e^x-1)`

separate variables

`intdy/y=int(e^x-1)dx`

`ln|y|=e^x-x+c`