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All separable equations are exact?

  1. Apr 13, 2004 #1
    How can I show that the separable equation dy/dx = M(x)N(y) is also exact?

    Any ideas?

    Thanks in advance!

    -epiclesis
     
  2. jcsd
  3. Apr 13, 2004 #2

    h2

    User Avatar

    dy/dx = M(x)N(y) implies
    M(x)dx - dy/N(y) = 0
    is this equation exact?
     
    Last edited: Apr 14, 2004
  4. Apr 14, 2004 #3

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Of course, that should be "M(x)dx- N(y)dy= 0".
     
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