Question

Match List-I with List-II. List-I: A. \(e^{at}\), B. \(\cos at\), C. \(\sin at\), D. \(\cosh at\).

• A. A-I, B-II, C-III, D-IV
• B. A-II, B-I, C-III, D-IV
• C. A-II, B-I, C-IV, D-III
• D. A-I, B-II, C-IV, D-III

Hint:

Remember the standard Laplace transforms: \(L\{e^{at}\}=\frac{1}{s-a}\), \(L\{\cos at\}=\frac{s}{s^2+a^2}\), \(L\{\sin at\}=\frac{a}{s^2+a^2}\), and \(L\{\cosh at\}=\frac{s}{s^2-a^2}\).

Answer 1

The Correct Option is C