Question: The first order time-invariant ODE is ?(t) + 2x(t) = u(t) Please show work, I am confused about this problem. Thank you :) (c) Compute

The first order time-invariant ODE is ?(t) + 2x(t) = u(t) Please show work, I am confused about this problem. Thank you :)

(c) Compute the solution to this system when the following inputs are applied to the system. The initial condition is given as x(0) = 0. (i) u(t) = sin (t) (15 points) (ii) u(t) = cos (t) (15 points) (iii) u(t) = sin(t) + cos (t) (20 points)

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