A system is described by the following differential equation. d²y(t) dy(t)__dx(t) + dt dt = + 2x(t) dt² By applying frequency-domain analysis, determine the following a) The zero-input response of this system given initial conditions of y(0) = 2 and y (0) = -4. b) The impulse response of this system. c) The zero-state response of this system. d) The total response of the system.
A system is described by the following differential equation. d²y(t) dy(t)__dx(t) + dt dt = + 2x(t) dt² By applying frequency-domain analysis, determine the following a) The zero-input response of this system given initial conditions of y(0) = 2 and y (0) = -4. b) The impulse response of this system. c) The zero-state response of this system. d) The total response of the system.
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![A system is described by the following differential equation.
d²y(t) _ dy(t) _ dx(t)
+
+ 2x(t)
dt²
dt
dt
By applying frequency-domain analysis, determine the following
a) The zero-input response of this system given initial conditions of y(0) = 2 and
y (0) = -4.
b) The impulse response of this system.
c) The zero-state response of this system.
d) The total response of the system.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2d105db-9484-46e3-9f4c-a1c27d0e7b48%2F22a61bfc-6a6c-4e6d-9ce8-04378277381f%2Fyjefhs2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A system is described by the following differential equation.
d²y(t) _ dy(t) _ dx(t)
+
+ 2x(t)
dt²
dt
dt
By applying frequency-domain analysis, determine the following
a) The zero-input response of this system given initial conditions of y(0) = 2 and
y (0) = -4.
b) The impulse response of this system.
c) The zero-state response of this system.
d) The total response of the system.
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