Jacobian to reduce PDE to ODE

• Aug 8th 2010, 06:33 AM
woody198403
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.
• Aug 8th 2010, 06:58 AM
Jester