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Math Help - DE help...

  1. #1
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    DE help...

    x^2 dy/dx = 1 - x^2 + y^2 - x^2y^2

    I can't figure out how to break this up. Any advice? Thanks.
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  2. #2
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    Nevermind, I got it!
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  3. #3
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    Quote Originally Posted by jzellt View Post
    x^2 dy/dx = 1 - x^2 + y^2 - x^2y^2

    I can't figure out how to break this up. Any advice? Thanks.

    x^2 \frac{dy}{dx} = 1 - x^2 + y^2 - x^2y^2

     \frac{dy}{dx} = \frac{1}{x^2} - 1 +\frac{ y^2}{x^2} -y^2

     \frac{dy}{dx} = \frac{1}{x^2} - 1 +y^2\left(\frac{ 1}{x^2} -1\right)

     \frac{dy}{dx} = \left(1-y^2\right)\left(\frac{ 1}{x^2} -1\right)

    Can you separate?
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