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Pde help

  1. Feb 10, 2006 #1
    I need a little help getting started here,

    Show that the boundry conditions X(b)=wX(a) +zX'(a)

    X'(b) = yX(a) + dX'(a) on the interval a<=x<=b are symmetric if and only if wd-zy=1

    i know that the a set of boundries are symmetric if f '(x)g(x) - f(x)g'(x) = 0 evaluated at x=a and x=b. but i am confused on what f(x) and g(x) would be.
    if some one can help me get this problem started it would be greatly appreciated.

  2. jcsd
  3. Feb 12, 2006 #2


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    Staff Emeritus
    Science Advisor

    What would it mean for the BC to be 'symmetric'?

    X(a) = X(b) and X'(a) = -X'(b) perhaps.
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