1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    u (nearly)=D dx + N dy
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook