The Laplace transform of e^(4t) is
Answer and explanation
Correct answer: B. 1/(s − 4)
- Step 1: The transform of e^(at) is 1/(s − a). Step 2. With a = 4: 1/(s − 4). Answer: 1/(s − 4). Why not the others: 1/(s + 4) is what you get if you get the sign wrong. 4/(s − 4) is what you get if you multiply by a. 1/(s² − 4) is what you get if you square s.
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