Laplace Transforms: Exercise Problems based on Initial and Final Value Theorems.
INITIAL AND FINAL VALUE
THEOREMS EXERCISE PROBLEMS
Verify
the initial and final value theorems for the functions.
1.
f(t) = t2 e‒3t
2.
f(t) = 1 + е‒t(sint +
cost)
3.
f(t) = 1‒e‒at
4.
f(t) = ae‒bt
5.
f(t) = e‒t sint
6.
f(t) = e‒t (t + 2)2
7.
If F(s) = (s3 + 5s + 2) /
(s3 + 4s2 + 2s), then find f(0) and f(∞). Ans: f(0) = 3, and f(∞)=1.
Transforms and its Applications: UNIT 1: Laplace Transforms : Tag: Engineering mathematics, Maths : Laplace Transforms - Initial and Final Value Theorems: Exercise Problems
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