2.1.32 \(y u_x+x u_y=u\) with \(u(x,0)=x^3\) and \(u(0,y)=y^3\) Example 3.5.8 in Lokenath Debnath

problem number 32

Added June 2, 2019.

From example 3.5.8, page 216 nonlinear pde’s by Lokenath Debnath, 3rd edition.

Solve for \(u(x,y)\) \begin {align*} y u_x+x u_y&=u \end {align*}

with with \(u(x,0)=x^3\) and \(u(0,y)=y^3\)

Mathematica


Failed

Maple


sol=()

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