Allied & ICAR Exam Bank • ALLIED_0070 NAT • 1 Mark

Section 1: Engineering Mathematics

Differential Equations

Subtopic: Laplace transforms and their inverse

Question Statement:

The inverse Laplace transform $\mathcal{L}^{-1}\left\{ \frac{1}{s - 4} \right\}$ evaluated at $t = 0$ is:

Answer Key:

1

Step-by-Step Solution & Explanation

$\mathcal{L}^{-1}\{1/(s - 4)\} = e^{4t}$. At $t = 0$, $e^0 = 1$.
← Previous (ALLIED_0069) Next (ALLIED_0071) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test