# The Laplace transform of u(t - 2) is a) 1/s + 2 b) 1/s - 2

Lipossig 2021-09-24 Answered
The Laplace transform of $$\displaystyle{u}{\left({t}-{2}\right)}$$ is
(a) $$\displaystyle\frac{{1}}{{s}}+{2}$$
(b) $$\displaystyle\frac{{1}}{{s}}-{2}$$
(c) $$\displaystyle{e}^{{2}}\frac{{s}}{{s}}{\left({d}\right)}\frac{{e}^{{−{2}{s}}}}{{s}}$$

### Expert Community at Your Service

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

### Plainmath recommends

• Ask your own question for free.
• Get a detailed answer even on the hardest topics.
• Ask an expert for a step-by-step guidance to learn to do it yourself.

## Expert Answer

Bentley Leach
Answered 2021-09-25 Author has 16954 answers
We know that:
$$\displaystyle{L}{\left({u}{\left({t}\right)}\right)}=\frac{{1}}{{s}}$$
By t shifting theorem
$$\displaystyle{L}{\left({u}{\left({t}-{2}\right)}\right)}={e}^{{-{2}{s}}}{L}{\left({u}{\left({t}\right)}\right)}=\frac{{{e}^{{-{2}{s}}}}}{{s}}$$
Answer would be
$$\displaystyle{\left({d}\right)}\frac{{{e}^{{-{2}{s}}}}}{{s}}$$

### Expert Community at Your Service

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

### Plainmath recommends

• Ask your own question for free.
• Get a detailed answer even on the hardest topics.
• Ask an expert for a step-by-step guidance to learn to do it yourself.
...