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Help me solving this differential equation

  • Thread starter ahm_11
  • Start date
  • #1
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[/yy] + [/zz] - ∂p/∂x = 0;

∂u/∂x = 0;

∂p/∂x = constant


i tried separation of variables ...
 

Answers and Replies

  • #2
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Show us what you tried...
 
  • #3
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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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