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Math Help - Substituting into a differential equation

  1. #1
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    Substituting into a differential equation

    Use y = u^k to prove

    \frac{dy}{dx}= y - (y^4)x

    can be rewritten as

     <br />
\frac{d}{dx} (e^{3x}u) = 3xe^{3x}<br />
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  2. #2
    Super Member Matt Westwood's Avatar
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    Standard Bernoulii diffeq: set u - y^{-3} and see what happens.
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