Input output relationship of a continuous time linear time invariant system is represented by a differential equation given as d^2y(t)/dt^2 - 4y(t) = x(t) where x(t) denotes the input while the output is denoted by y(t). The initial conditions are given as y(0) = 3 and dy(t)/dt |t=0 = 2. Find the output of this system when x(t) = sin(2t) is applied as an input.
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We have the given differential equation: $\frac{dy(t)}{dt} + 4y(t) = x(t)$ Show more…
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