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Thread: Homogenous Differntial Equation

  1. February 14th 2011, 10:25 AM #1
    DerekZ10
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    Homogenous Differntial Equation

    This problem has me and a few others stuck. Any help would be greatly appreciated.

    Solve as a homogeneous differential equation:

    dy/dx = (x2 +y^2)/(2xy)

    The answer to the problem is (x)/(x^2 - y^2) = C

    We basically don't know the process to get the answer. Thank you in advance!
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  2. February 14th 2011, 10:33 AM #2
    FernandoRevilla
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    Use the substitution y=vx .


    Fernando Revilla
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