2) A system is given d²y(t) dt² +6 dy(t) dt + 8y(t) = 2x(t) a) Find the impulse response of the system b) Find the response of the system for x(t) = te-² u(t)
2) A system is given d²y(t) dt² +6 dy(t) dt + 8y(t) = 2x(t) a) Find the impulse response of the system b) Find the response of the system for x(t) = te-² u(t)
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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Transcribed Image Text:2) A system is given
d²y(t)
dt²
+6. + 8y(t) = 2x(t)
dy(t)
dt
a) Find the impulse response of the system
b) Find the response of the system for x(t) = te-²tu(t)
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Step 1: Determine impulse response and response of the system for given input x(t):
VIEWStep 2: Apply Laplace transform to given system equation to get s-domain equation:
VIEWStep 3: Find impulse response in s-domain:
VIEWStep 4: Impulse response in time domain:
VIEWStep 5: Find response for x(t):
VIEWStep 6: Find y(t):
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