Analytical Solution
Hi, Everyone
Can anyone tell me if there is a analytical solution for the equation as follow: d2u/dx2(two times derivative of x)+lamda(constant)*x2(square of x)*exp(u)=0 The bounary condition is :u(0)=u(1)=0 Thanks! 
Re: Analytical Solution
It's highly unlikely that there is an analytic solution to the equation. I suspect the only (obvious) solution to the equation is
u = 4log(x), lambda=4, and this cannot be adjusted to satisfy the boundary conditions. 
Re: Analytical Solution
the solution to that equation is of the nature:
u=A*exp(x^2) in which A is a constant determined in terms of lambda. But as Tom says this cannot satisfy the BC you presented. 
driven cavity
i want to know, how to use analytical solution in my problem.I'm a final year student now doing my thesis.My thesis is 'driven cavity with aspect ratio 0.25'. I hope you can give me some idea to start my thesis.

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