((3y^2)dx/(x^2+3x)) +( ( 2y ln ((5x)/(x+3))+ 3siny)dy=0

Please help me in solving this problem using exact differential equation.

Thanks in advance.

1 answer

you can start by noting that if

u = ln(5x/(x+3))
du/dx = 3/(x^2+3x)

The rest should be not so hard now.