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Help me solving this differential equation

  1. Nov 2, 2011 #1
    [/yy] + [/zz] - ∂p/∂x = 0;

    ∂u/∂x = 0;

    ∂p/∂x = constant


    i tried separation of variables ...
     
  2. jcsd
  3. Nov 2, 2011 #2

    Mark44

    Staff: Mentor

    Show us what you tried...
     
  4. Nov 2, 2011 #3
    μ[uyy + uzz] - ∂p/∂x = 0 ... (1)

    ∂u/∂x = 0 ;

    now i assumed u(y,z) = Y(y)Z(z)

    so (1) becomes ... μ[ZYyy + YZzz] - ∂p/∂x = 0

    hence (1/Y)*Yyy + (1/Z)*Zzz = (R/YZ) = -λ2
    where, R = (1/μ)*∂p/∂x

    now Yyy + λ2Y = 0 ... can be solved easily but what about the remaining part .... i couldn't solve it due to the constant
     
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