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Math Help - Help with an ODE

  1. #1
    Junior Member
    Joined
    Jul 2011
    Posts
    26

    Help with an ODE

    Hi,

    First of all I'd just like to say thank you to everyone on the forum for all the help that they've given me, would not have been able to do some of this stuff without them.

    I have the following question:
    xy'-2y=2x^4
    y(1)=3

    So far I've managed to get to
    \frac{dy}{dx}=2x^3+\frac{2y}{x}

    I'm not sure where to go from here.
    I tried using a substitution of y=ux, but that didn't seem to help.

    Help would be appreciated,

    Thanks
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  2. #2
    A Plied Mathematician
    Joined
    Jun 2010
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    CT, USA
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    Re: Help with an ODE

    The equation is linear in y. Try the integrating factor approach.
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