2.1.61 \((y+u)u_x+y u_y=x-y\) with \(u(x,1)=1+x\). Problem 3.11 Lokenath Debnath

problem number 61

Added June 3, 2019.

Problem 3.11 nonlinear pde’s by Lokenath Debnath, 3rd edition.

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

Mathematica


Failed

Maple


sol=()

________________________________________________________________________________________