Project ForgeEngineering Mathematics
Differential Equations
GATE 2020
Easy
Consider the unit step function f(t) that is 0 for t<3 and 1 for t≥3. The Laplace transform of this function is
- e^(−3s)/s
- Be^(−3s)/s²
- Ce^(−3s)/(3s)
- De^(−6s)/s
Explanation
This is a unit step function delayed by 3, u(t−3). By the time-shift property, L{u(t−3)}=e^(−3s)·L{u(t)}=e^(−3s)/s.
Source: GATE CH 2020 (2020)
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