2.1.43 \(u_x+2 x y^2 u_y=0\) Problem 3.4 Lokenath Debnath

problem number 43

Added June 3, 2019.

Problem 3.4 nonlinear pde’s by Lokenath Debnath, 3rd edition.

Solve for \(u(x,y)\) \[ u_x+2 x y^2 u_y=0 \]

Mathematica


\[\left \{\left \{u(x,y)\to c_1\left (-\frac {x^2 y+1}{y}\right )\right \}\right \}\]

Maple


\[u \left (x , y\right ) = \mathit {\_F1} \left (\frac {x^{2} y +1}{y}\right )\]

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