Solve the following differential equations: `(dy)/(dx)=e^(x+y)+e^y x^3`

Explanation

Given,`(dy)/(dx)=e^(x+y)+e^y x^3`

`dy/e^y=(e^x+x^3)dx`

`intdy/e^y=int(e^x+x^3)dx`


=`-e^y=e^x+x^4/4+c`