Find the general solution of the PDE $ xu_x-xyu_y-y=0 $
for all $u(x,y)$
and find the parametric form of the solution of the PDE which follows the side condition $ **u(s^2,s)=s^3** $
I got part (a) of the solution. The general solution is $ u(x,y)=-xf(ye^x) $
I have the solution that the parametric form of the PDE is $ x(s,t)=s^2e^t $ but i am not sure on how to solve it.