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Math Help - Homogenous Differntial Equation

  1. #1
    Newbie DerekZ10's Avatar
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    Jan 2011
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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. #2
    MHF Contributor FernandoRevilla's Avatar
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    Use the substitution y=vx .


    Fernando Revilla
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