Consider a continuous time system given by: d?y dt? dy dx + 3 + 2y = x + 3 dt dt (a) For input x(t) = u(t), determine the response y(t) of the system. Assume the system is initially at rest.

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Please help me find the system response without Laplace transforms. 

Consider a continuous time system given by:
d²y
dy
dx
+ 3
+ 2y = x + 3-
dt2
dt
dt
(a) For input x(t) = u(t), determine the response y(t) of the system. Assume the system is
initially at rest.
Transcribed Image Text:Consider a continuous time system given by: d²y dy dx + 3 + 2y = x + 3- dt2 dt dt (a) For input x(t) = u(t), determine the response y(t) of the system. Assume the system is initially at rest.
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