Solve for the output y(t) at time t = 1 if a system is represented by the differential %3D equation below. Given a step input of u(t) = 1, where the initial conditions are y(0) = 0, dy(0)/dt = 0 and u(0) = 0. d²y dt? dy du + 3u dt +6. + 8y = dt

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Solve for the output y(t) at time t = 1 if a system is represented by the differential
equation below. Given a step input of u(t) = 1, where the initial conditions are y(0) =
0, dy(0)/dt = 0 and u(0) = 0.
d²y
dt?
dy
du
+ 6
+ 8y =
+ 3u
dt
dt
Transcribed Image Text:Solve for the output y(t) at time t = 1 if a system is represented by the differential equation below. Given a step input of u(t) = 1, where the initial conditions are y(0) = 0, dy(0)/dt = 0 and u(0) = 0. d²y dt? dy du + 6 + 8y = + 3u dt dt
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