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

problem number 103

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


\[u \left (x , y\right ) = c_{3} \beta ^{\frac {\beta }{2}} \left (-\frac {1}{c_{1} \left (2 x +2 y \right )+2 c_{2}}\right )^{\frac {\beta }{2}} \left (c_{1} \left (x -y \right )-c_{2}\right )^{-\frac {\beta }{2}}\]

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