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Response x(t) of a system to a forcing function u(t) is determined by the differential equation du 2 +3: + x = 2 +

Response x(t) of a system to a forcing function u(t) is determined by the differential equation du 2 +3: + x = 2 + 3u. dt Determine the response of this system to a forcing function u(t) = sin(t) applied at time t = 0, given that the initial conditions are set to x(0) = 1 and x'(0) = -1. dx dx dt dt

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