2.1.46 \(x u_x+y u_y=2 x y\) with \(u=2\) on \(y=x^2\). Problem 3.5(c) Lokenath Debnath

problem number 46

Added June 3, 2019.

Problem 3.5(c) nonlinear pde’s by Lokenath Debnath, 3rd edition.

Solve for \(u(x,y)\) \[ x u_x+y u_y=2 x y \] with with \(u=2\) on \(y=x^2\).

Mathematica


\[\{\{u(x,y)\to 2\}\}\]

Maple


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

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