Project ForgeEngineering Mathematics
Differential Equations
GATE 2017
Medium
The Laplace transform of a function is (s+1)/(s(s+2)). The initial and final values, respectively, of the function are
- A0 and 1
- 1 and 1/2
- C1/2 and 1
- D1/2 and 0
Explanation
Initial: lim(s→∞)sF(s)=lim(s+1)/(s+2)=1. Final: lim(s→0)sF(s)=lim(s+1)/(s+2)=1/2.
Source: GATE CH 2017 (2017)
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