Question

# Find the general solution to the given differential equation.$\frac{d y}{d x}=\frac{\dot{x}^2\ +\ x}{y\ + \ 1}$

Solution

Verified
First we have to separate the equation so that all the terms that contain $y$ are on the left side and all terms containing $x$ on the right side. In order to get the equation in the wanted form we have to multiply the equation with $(y+1) \ dx$.