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Homework Help: 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


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    Homework Helper

    And can you choose [itex]f(y)[/itex] such that [itex]u_y - x^3 + x = 0[/itex], as required?
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