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!

Show system of PDEs has no solution

  1. Oct 11, 2013 #1
    1. The problem statement, all variables and given/known data
    Show that there is no solution for the system
    [tex]u_x - 2.999999x^2 y + y = 0,[/tex]
    [tex]u_y - x^3 + x = 0.[/tex]


    2. Relevant equations



    3. The attempt at a solution
    I took the first equation and integrated w.r.t x, then differentiated w.r.t y. But I'm not sure if it helps:
    [tex]u_y - \frac{2.999999}{3}x^3 + x = f'(y)[/tex] where f(y) is an arbitrary function of y.
     
  2. jcsd
  3. Oct 11, 2013 #2

    pasmith

    User Avatar
    Homework Helper

    And can you choose [itex]f(y)[/itex] such that [itex]u_y - x^3 + x = 0[/itex], as required?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted