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Math Help - differential equation

  1. #1
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    differential equation

    (dy/dx) + x/y^3 = -3y/x how do i solve this?
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  2. #2
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    Quote Originally Posted by crafty View Post
    (dy/dx) + x/y^3 = -3y/x how do i solve this?
    Standard form

    \frac{dy}{dx} + \frac{3y}{x} = - \frac{x}{y^3}

    Multiply by y^3

    y^3 \frac{dy}{dx} + \frac{3y^4}{x} = - x

    and make the substitution u = y^4. The equation will become linear!
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