2.15.21 Lin Tsien \(2 u_{tx} + u_x u_{xx} - u_{yy} = 0\)

problem number 130

Added December 27, 2018.

Taken from https://en.wikipedia.org/wiki/List_of_nonlinear_partial_differential_equations

Lin Tsien equation. Solve for \(u(x,y,t)\) \[ 2 u_{tx} + u_x u_{xx} - u_{yy} = 0 \]

Mathematica


Failed

Maple


\[u \left (x , y , t\right ) = c_{4}+c_{5} \left (c_{3} t +c_{1} x +c_{2} y +c_{4}\right )\]

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