Hi, I have a problem solving this PDE:
(y^2)*u(x,y)''+2*y*u(x,y)'-2*u(x,y) = 0
Every derivate of u is in fonction of y.
What I tried:
I said that (y^2)*u(x,y)''+2*y*u(x,y)' = (u(x,y)'*y^2)' and make
v=u(x,y)'*y^2
then I tried to isolate u(x,y) and I arrive to u(x,y)=-v/y+C(X)...