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Thread: dy/dx = y/x - x/y

  1. #1
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    dy/dx = y/x - x/y

    How do I find

    dy/dx = y/x - x/y
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  2. #2
    Super Member flyingsquirrel's Avatar
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    Quote Originally Posted by georgiahelo View Post
    How do I find

    dy/dx = y/x - x/y
    Substitute $\displaystyle u=y/x$ ($\displaystyle \implies y=xu $ and $\displaystyle \frac{\mathrm{d}y}{\mathrm{d}x} = x\frac{\mathrm{d}u}{\mathrm{d}x}+u$) and solve for $\displaystyle u$.
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