1.

The response of the LTI system for ( frac{d^2 y(t)}{dt^2} + frac{dy(t)}{dt} + 5y(t) = frac{dx(t)}{dt} ). Given that y(0 ) = 2, ( frac{dx(t)}{dt} ) (at t=0) = 0, x(t) = u(t) is __________

A. 2e<sup>-t</sup> cos t u(t)
B. 0.5 e<sup>-t</sup> sin t u(t)
C. 2e<sup>-t</sup> cos t u(t) + 0.5 e<sup>-t</sup> sin t u(t)
D. 0.5 e<sup>-t</sup> cos t u(t-1) + 2e<sup>-t</sup> sin t u(t-1)
Answer» D. 0.5 e<sup>-t</sup> cos t u(t-1) + 2e<sup>-t</sup> sin t u(t-1)


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