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Math Help - pde, characteristic curves

  1. #1
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    Lightbulb pde, characteristic curves

    Can someone help me with a headstart to this problem?

    Find the no. of characteristic curves of the PDE

     (x^2 +2y) u_{xx}+ (y^3 - y +u ) u_{yy} + x^2 (y-1)u_{xy} + 3u_{x} + u = 0

    passing through the point x=1 and y=1.
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  2. #2
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    Re: pde, characteristic curves

    I found that this pde is parabolic.. Does it help us deduce that there are no characteristic curves passing through the given point?

    I reckon that a parabolic pde has 1 characteristic curve, an elliptic has none and a hyperbolic has 2 characteristic curves... Am I right?
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