Ify=int0^xf(t)sin{k(x-t)}dt ,t h e np ro...

`Ify=int_0^xf(t)sin{k(x-t)}dt ,t h e np rov et h a t(d^2y)/(dx^2)+k^2y=kf(x)dot`

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If y=int_0^xf(t)sin{k(x-t)}dt, then prove that ((dt^2y)/(dx^2))+k^2y=kf(x)

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