2.1.40 \((y+u) u_x+y u_y=x-y\) Problem 3.3(f) Lokenath Debnath

problem number 40

Added June 3, 2019.

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

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

Mathematica


Failed

Maple


\[u \left (x , y\right ) = \frac {-c_{1} y -y +\sqrt {c_{1}^{2} x^{2}+y^{2}+c_{1} \left (2 x y +2 c_{2}\right )}}{c_{1}}\]

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