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I need help finding the solution to the homogenous BVP. Normally I could do this but I'm lost on this one. [tex]\frac{d^2}{dt^2}x(t)+\int^{\pi}_{-\pi}\sin(t-s)x(s)ds=0[/tex]. I'm hoping the only solution is the zero solution. If not, I need to know a method to find all solutions. I thought about using the Neumann series but the [tex]\frac{d^2}{dt^2}x(t)[/tex] is messing me up. I don't know what to do. Any help will be appreciated

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# Fredholm Integral Eqn of the 2nd kind

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