2.15 more miscellaneous

  2.15.1 \(S S_{xy} + S_x S_y = 1\)
  2.15.2 \(u_{rr} + u_{\theta \theta } = 0\)
  2.15.3 \( u_{xx} + y u_{yy} = 0\)
  2.15.4 \(u_t + u_{xxx} = 0\)
  2.15.5 \(u_{xy} = \sin (x) \sin (y) \)
  2.15.6 \(w_t = w_{x_1 x_1} + w_{x_2 x_2} + w_{x_3 x_3}\)
  2.15.7 Linear PDE, initial conditions at \(t=t_0\)
  2.15.8 second order in time, Linear PDE, initial conditions at \(t=t_0\)
  2.15.9 Einstein-Weiner \(u_t = -\beta u_x + D u_{xx}\)
  2.15.10 Using integral transforms.

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