1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    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!

Homework Help: General solution of a differential equation

  1. Apr 21, 2009 #1
    1. The problem statement, all variables and given/known data
    Find the general solution to the differential equation in implicit form.
    http://www.texify.com/img/%5Clarge%5C%21%5Cfrac%7Bdy%7D%7Bdx%7D%3D%28cosx-sinx%29e%5E%7Bcosx%2Bsinx%2By%7D.gif [Broken]

    2. Relevant equations
    http://www.texify.com/img/%5Clarge%5C%21%5Cfrac%7Bdy%7D%7Bdx%7D%3Df%28x%29g%28y%29.gif [Broken]

    3. The attempt at a solution
    Am I correct in assuming that this is a separation of variables problem? I can't seem to grasp the algebra to move the y to the left hand side. Could anybody give me a nudge in the right direction?
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Apr 21, 2009 #2


    User Avatar
    Homework Helper

    split exp{cosx+sinx+y} into exp(cosx+sinx)*exp(y)
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook