2.10.2 \(u_{xx} - u_{yy} + \frac{\beta }{x} u_x = 0\)

problem number 104

Added June 20, 2019

Taken from http://people.maths.ox.ac.uk/chengq/outreach/The%20Tricomi%20Equation.pdf

Solve for \(u(x,y)\) \[ u_{xx} - u_{yy} + \frac{\beta }{x} u_x = 0 \]

Mathematica

Failed

Maple

\[u \left ( x,y \right ) ={\it \_C3}\, \left ( \left ( x-y \right ){\it \_C1}-{\it \_C2} \right ) ^{-\beta /2}{\beta }^{\beta /2} \left ( - \left ( \left ( 2\,x+2\,y \right ){\it \_C1}+2\,{\it \_C2} \right ) ^{-1} \right ) ^{\beta /2}\]

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