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Math Help - I have a problem solving this Bernoulli equation (tried several times)

  1. #1
    s3a
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    I have a problem solving this Bernoulli equation (tried several times)

    I am attaching the question along with my latest attempt at the time of this writing.

    Any help in spotting my mistake(s) would be greatly appreciated!
    Thanks in advance!

    Edit: Wolfram Alpha says the answer is: http://www.wolframalpha.com/input/?i=y'+-+4/x+y+%3D+y^3/x^5;+y(1)+%3D+1 but I want to know what I did wrong in my work while attempting to get there.
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  2. #2
    MHF Contributor Amer's Avatar
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    Re: I have a problem solving this Bernoulli equation (tried several times)

    what you did to the line 3 to become line 4 ? x/8 became x^8, this one thing and the other one, you cant solve it by separation of variables until you get all the x"s on a side and all y"s on the other side
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  3. #3
    s3a
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    Re: I have a problem solving this Bernoulli equation (tried several times)

    It was in skipping that step that I made a mistake! Thank you!

    (The correct way is attached if anybody cares - as #4 Good Version).
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