Solve a homogeneous first-order differential equation

Use $u=y/x$ to show that $\dfrac{dy}{dx}=\dfrac{y^2+xy+x^2}{x^2}$, $x>0$, reduces to $\dfrac1{u^2+1}\dfrac{du}{dx}=\dfrac1x$. Hence find $y$ in terms of $x$.