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Math Help - Need help in Homogeneous equation ...

  1. #1
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    Tehran
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    Need help in Homogeneous equation ...

    Hi.
    first i apologize for my bad english.

    I need to solve this equation : ( i have its solution but can't understand some parts of it )

    (y4 - 3x2)dy + xydx = 0 (1)

    I use y = ta ــ> dy = ata-1dt (2) and place it in (1) :

    a(t5a-1 - 3x2ta-1)dt + xtadx = 0

    then i don't understand this next part ( I'm typing it from solution of problem ): 5a - 1 = 2 + a - 1 ?
    it then calculates a = 1/2 and solves the equation ... i don't get why 5a - 1 = 2 + a - 1 ...
    thanks in advance.
    Last edited by mhmarefat; February 6th 2013 at 09:44 AM.
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  2. #2
    MHF Contributor
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    Re: Need help in Homogeneous equation ...

    Hey mhmarefat.

    Is this a Bernoulli type DE?
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