GATE AG 2025 • Q13 MCQ • 1 Mark

Section 1: Engineering Mathematics

Differential Equations

Subtopic: Laplace transforms and their inverse

Question Statement:

s/(s²+a²) is the Laplace transform of:

Options:

  • (A) cos at
  • (B) sin at
  • (C) sinh at
  • (D) cosh at

Official Answer Key:

A

Step-by-Step Solution & Explanation

Standard transform pair: L{cos at} = s/(s²+a²); L{sin at} = a/(s²+a²); L{sinh at} = a/(s²−a²); L{cosh at} = s/(s²−a²).

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