Solve the differential equation $\displaystyle \frac{dy}{dt} =\frac{ty+t}{y}$ with starting value $y(2) = 0$
I started with separation of variables and integrated afterwards:
$$y\, dy=(ty+t)dt = \frac{y^2}{2} = \frac{(t^2)y+t^2}{2} + c$$
After that I get stuck, can anyone help me out? Thanks