I am trying to solve an ode of the form u"(x)=a(x) where a(x) is some known function and the domain is from -inf to +inf. I am required to use Green's function.(adsbygoogle = window.adsbygoogle || []).push({});

The boundary condition is u(0) = Integral[u(x),{x,0,1}] = 0

My Green's function has the form

G(x,y) = A(y)*x+B(y) x<y

G(x,y) = C(y)*x+D(y) x>y

How the heck do I use that integral to find the coefficients A and B?

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# How do i deal with integral boundary conditions?

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