Question

Can someone separate this differential equation for me?
(dy/dx)=2xy+4x

Answer 1

2xy+4x=2x(y+2)
dy/dx=2x(y+2)
divide both sides by (y+2) and multiply both sides by dx
then integrate both sides

Answer 2

dy/dx = 2x(y+2)
separate variables(crossmultiply)
dy/(y+2) = 2x dx
Integrate :
ln(y+2) = x^2 + C