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Math Help - Help with non linear differential equation

  1. #1
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    Help with non linear differential equation

    I have come across this question:

    dy/dx - y = xy^5

    How do you solve this?
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  2. #2
    A Plied Mathematician
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    It's Bernoulli.
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  3. #3
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    Quote Originally Posted by Ackbeet View Post
    It's Bernoulli.
    Oh yeh, thanks. I'll have an attempt now
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  4. #4
    A Plied Mathematician
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    Right. Let me know if you have difficulty.
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  5. #5
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    Quote Originally Posted by Ackbeet View Post
    Right. Let me know if you have difficulty.
    Quick question:

    If z = y^-4 , how do you get y on it's own?

    y = z^4 ?
    Or y = z^-1/4 ?
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  6. #6
    A Plied Mathematician
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    The second method is correct. Or you can do implicit differentiation to translate the DE to z's. One possibly useful equation is y^4 = 1/z.
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