Allied & ICAR Exam Bank • ALLIED_0792 NAT • 2 Marks

Section 1: Engineering Mathematics

Differential Equations

Subtopic: Laplace transforms and their inverse

Question Statement:

The inverse Laplace transform $\mathcal{L}^{-1}\left\{\frac{6}{s^4}\right\} = t^n$. The value of the integer power $n$ is:

Answer Key:

3

Step-by-Step Solution & Explanation

Since $\mathcal{L}\{t^3\} = \frac{3!}{s^4} = \frac{6}{s^4}$, the value of $n = 3$.
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