Engineering Board Exam Reviewer · Laplace Transforms · medium

Find the Laplace transform of f(t)=te2t.

1. 1≤ft(s + 2 )2
2. 1s2 - 4
3. 2≤ft(s - 2 )3
4. 1≤ft(s - 2 )2

Answer

D. 1≤ft(s - 2 )2

Solution

Lt= 1s2. By the first shifting theorem, replace s with s-2: Lte2t=1/(s-2)2.

More Laplace Transforms questions

1. Find the Laplace transform of f(t)= 3t.
2. Find the Laplace transform of f(t)=e-2t.
3. Find the Laplace transform of f(t)=t3.
4. Find the Laplace transform of f(t)=1.
5. Find the Laplace transform of f(t)=t.
6. Find the Laplace transform of f(t)=e3t.
7. Find the Laplace transform of f(t)= (4t).
8. Find the Laplace transform of f(t)= (2t).
9. Find the Laplace transform of f(t)=t2.
10. Find the Laplace transform of f(t)=t,e2t.

All Laplace Transforms questions