General solution of a differential equation

  • Thread starter Briggs
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  • #1
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Homework Statement


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]

Homework Equations


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

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?
 
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Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
split exp{cosx+sinx+y} into exp(cosx+sinx)*exp(y)
 

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