Solve the differential equation: `(dy)/(dx)+ 4x=e^x`

Explanation

`frac{d y}{d x}+4 x=e^{x}`



By Integrating each sides, we get

`

int d y+int 4 x d x=int e^{x} d x`

`


y+4 frac{x^{2}}{2}=e^{x}+c`

`
...