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Math Help - Identifying equation type...

  1. #1
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    Identifying equation type...

    Hi, I need help identifying what type of differential equation the following are. Once I know the type, I'll be able to solve them. Also, if the equations are not exact as given, we arent supposed to find the integrationg factor. Thanks!

    Should be one of the following types: Seperable, Homogeneous, Linear, Bernoulli, and/or Exact.

    (2x^2y)dx+(e^{x^3+2y^3})dy=0 ...Solved by chisigma!
    As given this is not exact, but I cannot get it to fit any other types.

    (x)dx-(x^2y+y^3)dy=0 ...yet to be solved
    Also, not exact, but I cannot get this into a different form.
    Last edited by snaes; February 11th 2010 at 09:59 AM.
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  2. #2
    MHF Contributor chisigma's Avatar
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    With simple steps we obtain...

    2\cdot x^{2} \cdot e^{-x^{3}}\cdot dx= -\frac{e^{2y^{3}}}{y}\cdot dy (1)

    ... so that the DE is separable...

    Kind regards

    \chi \sigma
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  3. #3
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    Quote Originally Posted by chisigma View Post
    ... so that the DE is separable...
    \chi \sigma
    Thanks! I forgot that e^{x+y}=e^{x} e^{y}

    NOTE* Still need help on one remaining differential equation:
    <br />
(x)dx-(x^2y+y^3)dy=0<br />
    Last edited by snaes; February 11th 2010 at 12:10 PM.
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