2.1.42 \(y u_y - x u_x = 1\) Problem 3.3(h) Lokenath Debnath

problem number 42

Added June 3, 2019.

Problem 3.3(h) nonlinear pde’s by Lokenath Debnath, 3rd edition.

Solve for \(u(x,y)\) \[ y u_y- x u_x=1 \]

Mathematica


\[\{\{u(x,y)\to -\log (x)+c_1(x y)\}\}\]

Maple


\[u \left (x , y\right ) = \mathit {\_F1} \left (x y \right )-\ln (x )\]

________________________________________________________________________________________