An LT-I system with the following differential equation y’(t) + 3 y(t) = x(t) has a...
An LT-I system with the following differential equation
y’(t) + 3 y(t) = x(t)
has a Zero State Response of yzsr(t) = -2 exp(-5t) u(t) + 2 exp(-3t) u(t)
when an input signal: x(t) = 4 exp(-5t) u(t) is applied to the system.
What is the Zero State Response of the following system beginning at time t = 0 seconds,
y’(t) + 3 y(t) = x’(t) -2 x(t)
if the same input signal is applied to the system, and it has initial conditions: y(0) = 2
Select one:
a. yZSR(t) = 14 exp(-5t) u(t) - 10 exp(-3t) u(t)
b. yZSR(t) = -10 exp(-5t) u(t) + 6 exp(-3t) u(t)
c. yZSR(t) = 14 exp(-5t) u(t) - 10 exp(-3t) u(t) + 4 delta(t)
d. yZSR(t) = -2 exp(-5t) u(t) + 2 exp(-3t) u(t)
e. yZSR(t) = 6 exp(-5t) u(t) - 2 exp(-3t) u(t)
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An LT-I system with the following differential equation
y’(t) + 3 y(t) = x(t)
has a...
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