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Math Help - Which technique should I use to solve this ODE?

  1. #1
    Junior Member
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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. #2
    Math Engineering Student
    Krizalid's Avatar
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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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