Find the general solution of the following differential equation: dy/dx + xy + y/xy + x

Question

Find the general solution of the following differential equation:

\(\frac{dy}{dx}\) + \(\frac{xy+y}{xy+x}\) = 0

dy/dx + xy + y/xy + x

Answer 1

\(\frac{dy}{dx}\) + \(\frac{y(1+x)}{x(1+y)}\) = 0

Integrating ,