2.1.48 \(y u_x+x u_y=x y\) with \(u(0,y)=e^{-y^2},u(x,0)=e^{-x^2}\). Problem 3.5(e) Lokenath Debnath

problem number 48

Added June 3, 2019.

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

Solve for \(u(x,y)\) \[ y u_x+x u_y=x y \] with \(u(0,y)=e^{-y^2},u(x,0)=e^{-x^2}\) for \(x>0,y>0\)

Mathematica


Failed

Maple


sol=()

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