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Math Help - Rearranging dy/dx Terms Question

  1. #1
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    Rearranging dy/dx Terms Question

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  2. #2
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    First bring all the terms with \frac{dy}{dx} to one side, and everything else to the other, then factor out \frac{dy}{dx} and divide through.

    -3xy^2\frac{dy}{dx}+\frac{dy}{dx}-3xy\frac{dy}{dx}-3x^2\frac{dy}{dx}=-5x+4x^2+3xy^2-1

    \frac{dy}{dx}(-3xy^2-3x^2-3xy+1)=3xy^2+4x^2-5x-1

    \frac{dy}{dx}=\frac{(3xy^2+4x^2-5x-1)}{(-3xy^2-3x^2-3xy+1)}
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