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Math Help - general rule regarding solving each differnetial

  1. #1
    Junior Member
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    Jan 2010
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    general rule regarding solving each differnetial

    (3y^2 + 2y)y' = xcosx
    xyy'=ln(x) ; y(1)=2


    for the first one i get y^3 + y^2= (x^2) sin(x) +cos(x) + C (constant)
    and the second one is y^2 + ln(x)^2 +4
    the problem is there is no way i can define those two as function y of x or function x of y
    because of the exponents.

    So my question is, if a question is asking for a solution to a differential equation, can we just leave it as that above?
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  2. #2
    Senior Member
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    Jul 2009
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    Hi hangainlover

    Yes you can leave your answer just like that but there are problems with your answers.

    For the first one, I got different answer for the RHS. For the second one, it is not an equation and I don't think your integration is right.
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  3. #3
    Junior Member
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    for the first one i made a typo I m sorry
    I get y^3+y^2 = xsin(x) +cos(x) + C ( i put x^(2) sin(x) by mistake)
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