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Math Help - Differential equations special substitutions

  1. #1
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    Differential equations special substitutions

    I'm having some trouble solving this differential equation

    Solve \dfrac{dy}{dx}=(y-x)^2 using the substitution u=y-x

    Do I have to find \dfrac{dy}{du}?
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  2. #2
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    Why would you need that? \dfrac{du}{dx}\;=\;\dfrac{dy}{dx} - 1 is good enough, isn't it?
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  3. #3
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    So would \dfrac{du}{dx}=u^2-1
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  4. #4
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    Looks good so far.
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