How to solve exact differential equation?

Question

Hello all!
New to this Q&A thing so go easy on me please :)

I'm finding difficultly solving this question. Could someone help me find the answer + show all working that would be great :)

 

dy   

      = (8x+3e^x+3)/(5y²+y)

dx
      

Answer 1

dy/dx = (8x + 3e^x + 3)/(5y² + y)

 

Note this is a SEPARABLE equation.

 

(5y² + y)dy = (8x + 3e^x + 3)dx

 

Now just integrate both sides.  Do not forget the integration constant.  You only need one integration constant, and you can place it on either side of the equation.  Can you take it from here?