Partial differential

  • Thread starter the_edge
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  • #1
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Hello, I'm new at these equations so I need help. I'm not able to solve this partial differential equation, if there is somebody who can help me do it plzz...

http://galeb.etf.bg.ac.yu/~ii030168d/problem/problem.GIF [Broken]

OK, it begins like this:

http://galeb.etf.bg.ac.yu/~ii030168d/problem/problem1.GIF [Broken]

But I don't know what to do next... This problem is from exam on my faculty. (I havent pass)


I would appreciate any help...
 
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Answers and Replies

  • #2
arildno
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Well, the first equation may be rewrittent as a ratio between the differentials of x and y as follows:
[tex]\frac{dy}{dx}=\frac{x-y-x^{2}y}{x+y+xy^{2}}[/tex]
I'm not sure if this is analytically solvable, though..
 
  • #3
arildno
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You MIGHT try changing of variables u=x+y, v=x-y; possibly, that will simplify the expressions.
 
  • #4
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Sorry I made a mistake, problem is next:

dx/(x+y-xy^2) = dy/(x^2y-x-y) = dz/(z(y^2-x^2))

Maybe now there is solution. Those changes can't help, they wouldnt simplify the expression, but thanks...
 
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