111. Input x(t) and output y(t) of an LTI system are related by the differential equation y”(t) – y'(t) – 6y(t) = x(t). If the system is neither causal nor stable, the impulse response h(t) of the system is

$${1 over 5}{e^{3t}}uleft( { - t} ight) + {1 over 5}{e^{ - 2t}}uleft( { - t} ight)$$
$$ - {1 over 5}{e^{3t}}uleft( { - t} ight) + {1 over 5}{e^{ - 2t}}uleft( { - t} ight)$$
$${1 over 5}{e^{3t}}uleft( { - t} ight) - {1 over 5}{e^{ - 2t}}uleft( t ight)$$

Subscribe on YouTube

nor stable, the impulse response h(t) of the system is" class="read-more button" href="https://exam.pscnotes.com/mcq/input-xt-and-output-yt-of-an-lti-system-are-related-by-the-differential-equation-yt-yt-6yt-xt-if-the-system-is-neither-causal-nor-stable-the-impulse-response-ht-of-the-system/#more-43184">Detailed SolutionInput x(t) and output y(t) of an LTI system are related by the differential equation y”(t) – y'(t) – 6y(t) = x(t). If the system is neither causal nor stable, the impulse response h(t) of the system is

113. Consider the sequence x[n] = {-4 – j5, 1 + j2, 4} The conjugate antisymmetric part of the sequence is

{-4 - j2.5, j2, 4 - j2.5}
{-j2.5, 1, j2.5}
{-j5, j2, 0}
{-4, 1, 4}

Subscribe on YouTube
antisymmetric part of the sequence is" class="read-more button" href="https://exam.pscnotes.com/mcq/consider-the-sequence-xn-4-j5-1-j2-4-the-conjugate-antisymmetric-part-of-the-sequence-is/#more-42988">Detailed SolutionConsider the sequence x[n] = {-4 – j5, 1 + j2, 4} The conjugate antisymmetric part of the sequence is

114. Given that F(s) is the one-sided Laplace transform of f(t), the Laplace transform of $$\int\limits_0^t {f\left( \tau \right)} d\tau $$ is

”sF(s)
”$${1
”$$intlimits_0^s
”$${1
$$” correct=”option4″]

Subscribe on YouTube
\tau \right)} d\tau $$ is" class="read-more button" href="https://exam.pscnotes.com/mcq/given-that-fs-is-the-one-sided-laplace-transform-of-ft-the-laplace-transform-of-intlimits_0t-fleft-tau-right-dtau-is/#more-42881">Detailed SolutionGiven that F(s) is the one-sided Laplace transform of f(t), the Laplace transform of $$\int\limits_0^t {f\left( \tau \right)} d\tau $$ is


Test 1Test 2Test 3