Question

1 : An LTI system with input signal x(t) = [e^t + e^{-2t}] u(t) gives the response y(t) = [2 - 3t] e^{-2t}u(t) (a) Find the transfer function of this system, i.e., H(s). (b) Determine the impulse response of the system, i.e., h(t).

          1 : An LTI system with input signal
x(t) = [e^t + e^{-2t}] u(t)
gives the response
y(t) = [2 - 3t] e^{-2t}u(t)
(a) Find the transfer function of this system, i.e., H(s).
(b) Determine the impulse response of the system, i.e., h(t).
        
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1 : An LTI system with input signal
x(t) = [e^t + e^-2t] u(t)
gives the response
y(t) = [2 - 3t] e^-2tu(t)
(a) Find the transfer function of this system, i.e., H(s).
(b) Determine the impulse response of the system, i.e., h(t).

Added by Salvador W.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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An LTI system with input signal x(t) = [e^t + e^{-2t}] u(t) gives the response y(t) = [2 - 3t] e^{-2t}u(t) (a) Find the transfer function of this system, i.e., H(s). (b) Determine the impulse response of the system, i.e., h(t).
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Transcript

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00:01 Portion x t is equal to e t plus e power minus 2 t u t x 3 is equal to 1 divide by s minus 1 plus 1 2 is equal to s plus 2 plus s minus 1 divide by s minus 1 multiplied x plus 2 is equal to 2 s minus 1 multiplied divided by x1 y t is equal to 2 minus 3 t multiply with equal to minus 2 t u t y s is equal to l multiplied to 1 x equal to pound minus 2 t minus 3 t e the power minus 2 t is equal to 2 divided by s plus 2 minus 3 into 1 divided by s plus 2 2 whole square is equal to 2 s plus 2 minus 3 divided by s plus 2 2 4 square it is equal…
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