EXERCISES
Q1. Find the Laplace transform of the following:
- 2 cos 5ωt + 4 sin 5ωt
- e−2t u(t) for t ≥ 0
Also find the ROC of the above cases.
[Ans.: (i) ROC: σ < 0 (ii) , ROC: σ > −2 (iii) , ROC: α < σ > β]
Q2. Find the Laplace transform of f (t) = e−5tu(−t) + te−7tu(t) if it exists. Find the ROC also if it exists.
[Ans.: LT Exists ROC: −7 < σ < −5] ...
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