Question:medium

The inverse Laplace transform of $\frac{s+3}{s^2 - 4s + 13}$ is:}

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When completing the square in the denominator $(s-a)^2 + \omega^2$, you immediately find the damping factor $e^{at}$ and frequency $\omega$. Here, $a=2$ and $\omega=3$, which instantly eliminates options (A) and (C).

Updated On: Jun 25, 2026

$e^{2t} [\cos 2t + 3\sin 2t]$
$\frac{e^{2t}}{3} [3\cos 3t + 5\sin 3t]$
$e^{2t} [t + 3\sin 3t]$
$\frac{e^{2t}}{5} [5\cos 3t + 3\sin 3t]$

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The Correct Option is B

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The inverse Laplace transform of $\frac{s+3}{s^2 - 4s + 13}$ is:}

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The Correct Option is B

Solution and Explanation

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