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Solving an equation with boundary conditions

  1. Jul 28, 2009 #1
    Hey all,

    I finally figured out how to solve the integral:

    [tex]\int{dp} = \int{6U\eta(\frac{h-\overline{h}}{h^{3}})}{dx} + C[/tex]

    using maple and have it export to matlab where:


    how do i find the boundary conditions to satisfy the constants [tex]\overline{x}[/tex] and [tex]C[/tex]?

    my boundary conditions are:

    [tex]p = 0 \ @ \ x = R[/tex]
    [tex]p = 0 \ @ \ x = -\overline{x} \mbox{ where } \overline{x} \mbox{ is where } \frac{dp}{dx} = 0 \mbox{ (maximum pressure)}[/tex]

    i don't know if there is an easy way to do it or not! Thanks for your help!

  2. jcsd
  3. Aug 1, 2009 #2


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    Science Advisor

    Well, the obvious thing to do would be to put those conditions into your equation, giving you two equations for [itex]\overline{x}[/itex] and C- except that the conditions say "p= 0" and there is NO p in your equation!

    Since your original equation, in terms of integrals, has [itex]\int dp[/itex] on the left side, you should get an equation of the form "p= the integral on the right". I have no idea what the equations you give for h and [itex]\overline{h}[/itex] have to do with that equation!
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