Accounting Show that the solution of the following differential equation y''(x)+4y(x)= f(x), ~~xin (0,1), ~~y(0)=y(1)=0 can be written as y(x)=int_{0}^{1} G(x,x')f(x')dx',~~G(x,x')=2sum_{n=0}^{infty }frac{sin(n pi x)sin(n pi x')}{4-n^{2} pi^{2}} Solve for the case f(0) = 1 and compare it with the solution that we would obtain if we solved it by another method.

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