Laplace transform of delta(t-2)

1. What is Laplace transform of Delta?
2. What is the Laplace transform of delayed unit impulse function δ t 2 is?
3. What is the Laplace transform of sin 2t?
4. What is Laplace of E 2t?

What is Laplace transform of Delta?

The Laplace transform of the Dirac delta function is easily found by integration using the definition of the delta function: Lδ(t−c)=∫∞0e−stδ(t−c)dt=e−cs.

What is the Laplace transform of delayed unit impulse function δ t 2 is?

f(t) = δ(t – 2) Laplace transform of δ(t) = 1. Now, by applying time shifting property, Lδ(t – 2) = e^-2s.

What is the Laplace transform of sin 2t?

Therefore L(sin2(t))=L(f′(t))=sF(s)−f(0)=12s−s2(s2+4)−0=2s(s2+4).

What is Laplace of E 2t?

Given, f (t) = e-2t. The Laplace transform is given as: F(s) = 1s+2.