(10) (2 marks) Find the coefficients Yk, k e Z, such that y(t) = ykeikt, tER, kez satisfies the boundary value problem {
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(10) (2 marks) Find the coefficients Yk, k e Z, such that y(t) = ykeikt, tER, kez satisfies the boundary value problem {
(10) (2 marks) Find the coefficients Yk, k e Z, such that y(t) = ykeikt, tER, kez satisfies the boundary value problem {y"(t) + y(t) + y(t) = f(t), t E (0,27), y(0) = y(2), y'(0) = y(27), where 1 f(t) = I heikt, tER. f= keZ {0} k2
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