hi sorry for the insurgent of questions ..

anyways we have :

du/dx + x*du/dy = 0

with boundary conditions

i) u = sinh(y) on x=0

ii) u = cosh(x) on y=0

question: solve pde above and show solution is single valued throughout (x,y) plane.

heres what i have so far:

I get 2 integrals I = u and J = y-(x^2)/2 so general solution to pde is

u = f(y-(x^2)/2)

but not sure where to go from here : /