(a) Derive the solution x.t / D t .sin 2t /=.sin 2/ of the

Chapter , Problem 16

(choose chapter or problem)

(a) Derive the solution x.t / D t .sin 2t /=.sin 2/ of the endpoint value problem x00 C 4x D 4t; x.0/ D x.1/ D 0: (b) Show that the series in Eq. (31) is the Fourier sine series of the solution in part (a).

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