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Thread: Help me please.... Mixed Partials

  1. #1
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    Help me please.... Mixed Partials

    Use the "mixed partials" check to see if the following differential equation is exact


    (-1x^2 + 2y)dx + (2x - 3y^1)dy = 0

    My(x,y) = ?
    Nx(x,y) = ?
    F(x,y) = ?
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  2. #2
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    Quote Originally Posted by tiga killa View Post
    Use the "mixed partials" check to see if the following differential equation is exact


    (-1x^2 + 2y)dx + (2x - 3y^1)dy = 0

    My(x,y) = ?
    Nx(x,y) = ?
    F(x,y) = ?
    May not be what you want, but interesting to solve
     -x^2 dx+ (2ydx+2xdy) -3ydy= 0
     \Rightarrow -x^2 dx+ 2d(xy) -3ydy= 0
     \Rightarrow -\frac{x^3}{3}+2xy-\frac{3y^2}{2}=C
    Last edited by mr fantastic; Sep 18th 2009 at 09:01 AM. Reason: Restored original post
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  3. #3
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    what is My(x,y)??
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  4. #4
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    Quote Originally Posted by tiga killa View Post
    what is My(x,y)??
    Go back to your class notes or textbook and refer to the definitions that you will find there.
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