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First degree ode (cosh/sinh)

  1. May 13, 2009 #1
    1. The problem statement, all variables and given/known data

    [tex]\frac{dy}{dx} = \frac{cosh x cos y + cosh y sin x}{sinh x sin y - sinh y sin x}[/tex]

    I'm really stuck at this one. I don't even know where to start, but I hope that a substitution (ie u = f(x,y)) might be able to put this in a separable form. Any hints please??

    Other roads:

    1. Hyperbolic cosine/sine identities?

    2. Expressing as powers of e?
     
  2. jcsd
  3. May 13, 2009 #2
    Is there a typo? It's almost exact. The sin x in the numerator looks out of place.
     
  4. May 13, 2009 #3
    This is an exact equation.

    dy/dx = Numerator/Denominater

    D dx - N dy =0

    [tex]\partial[/tex]D/[tex]\partial[/tex]y=[tex]\partial[/tex]N/[tex]\partial[/tex]x

    u (nearly)=D dx + N dy
     
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