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Thread: Which technique should I use to solve this ODE?

  1. August 1st 2011, 07:52 AM #1
    dwally89
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    Which technique should I use to solve this ODE?

    xy'=\sqrt{x^2-y^2}+y

    So far I've rearranged it to get:
    \frac{dy}{dx}=\frac{\sqrt{x^2-y^2}+y}{x}

    Thanks
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  2. August 1st 2011, 10:46 AM #2
    Krizalid
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    Re: Which technique should I use to solve this ODE?

    Now the RHS is rewritten as \sqrt{1-{{\left( \frac{y}{x} \right)}^{2}}}+\frac{y}{x}.
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