#### 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

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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