Transforms and its Applications: UNIT 1: Laplace Transforms

Initial and Final Value Theorems: Exercise Problems

Laplace Transforms

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


Transforms and its Applications: UNIT 1: Laplace Transforms



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