Recent content by shortwave

  1. S

    What is the PDE for the general solution U(x,y) = Phi(x+y) + Psi(x-2y)?

    Thanks Dick! I managed to get a similar pde.
  2. S

    What is the PDE for the general solution U(x,y) = Phi(x+y) + Psi(x-2y)?

    Since this is a hyperbolic pde (discriminant > 0) I would find the characteristics by using a form of the quadratic equation, which would give me two roots, xi and eta. But I'm working backwards; I have the roots but not I need to get back to the hyperbolic pde. Does this help?
  3. S

    What is the PDE for the general solution U(x,y) = Phi(x+y) + Psi(x-2y)?

    Sorry, I should clarify. The PDE that I'm trying to find from the general solution should look like 2U_xx + U_xy - U_yy = 0.
  4. S

    What is the PDE for the general solution U(x,y) = Phi(x+y) + Psi(x-2y)?

    Homework Statement Find the PDE for this general solution: U(x,y) = Phi(x+y) + Psi(x-2y) Homework Equations The Attempt at a Solution I let my xi = x+y and my eta = x-2y and found that both roots are {-1,1/2}. From that I multiplied: (dy/dx - root1)*(dy/dx - root2) to give me the...
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