1. Not finding help here? Sign up for a free 30min 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!

Partial differential

  1. Jul 13, 2006 #1
    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...

    [​IMG]

    OK, it begins like this:

    [​IMG]

    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...
     
  2. jcsd
  3. Jul 14, 2006 #2

    arildno

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    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..
     
  4. Jul 14, 2006 #3

    arildno

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    You MIGHT try changing of variables u=x+y, v=x-y; possibly, that will simplify the expressions.
     
  5. Jul 16, 2006 #4
    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...
     
    Last edited: Jul 16, 2006
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Partial differential
  1. Partial Differentiation (Replies: 11)

  2. Partial differentiation (Replies: 10)

Loading...