2.15.22 Liouville \(u_{xx} + u_{yy} +e^{\lambda u} = 0\)

problem number 131

Added December 27, 2018.

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

Liouville equation. Solve for \(u(x,y)\) \[ u_{xx} + u_{yy} +e^{\lambda u} = 0 \]

Mathematica


Failed

Maple


sol=()

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