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Solving a non-linear non-seperable differential equation

  1. May 25, 2008 #1

    SuperNomad

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    I'm having trouble solving this differential equation:

    (2x^2)yy' = −1

    I'm just really not sure how to go about solving this.
     
    SuperNomad, May 25, 2008
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  3. May 25, 2008 #2

    Mute

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    Homework Helper

    Why isn't it separable?

    [tex]2x^2 y \frac{dy}{dx} = -1 \Rightarrow 2y dy = -\frac{dx}{x^2}[/tex]
     
    Mute, May 25, 2008
  4. May 25, 2008 #3

    SuperNomad

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    Ah yes, that's actually quite easy, I'm just being dense.

    Thanks for the help.

    SuperNomad
     
    SuperNomad, May 25, 2008
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