2.10 Euler-Poisson-Darboux equation

  2.10.1 \(u_{xx} + u_{yy} + \frac{\beta }{x} u_x = 0\)
  2.10.2 \(u_{xx} - u_{yy} + \frac{\beta }{x} u_x = 0\)
  2.10.3 \(u_{tt} - u_{xx} - \frac{2}{x} u_x = 0\) with \(u(x,0)=0,u_t(x,0)=g(x)\)

________________________________________________________________________________________