# Math Help - Jacobian to reduce PDE to ODE

1. ## Jacobian to reduce PDE to ODE

Find an explicit solution $u(x, y)$ which satisfies

$xu_x +u_y = \frac{1}{u}$ with $u(1,y) =y$

Find the Jacobian of the transformation you use to reduce the PDE to an ODE.

2. See if you can follow post #2 in this thread.

http://www.mathhelpforum.com/math-he...ty-153048.html