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Question: How to solve this BVP problem?

Hi everyone,

I'm kinda new here, and I really hope you guys can help me through this.

I'm doing a term project and I need to solve this differential equation. I tried to make it work, but since I'm new with maple I couldn't get to any result. So I really appreciate if you can help me solve the problem, since I am eally stuck here and all other results sort of depend on this equation.

here is the equation:

diff(y(x), x, x) = -(8*omega*(1-exp(-8*x))*exp(-8*x)/(2*x^2)-pi^2/(32*x))*y(x)

with following boundary conditions:

y(0)=0,

y(1/2)=0 ,

y'(0)=1.

thanks again.

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