Question

Can you show me step by step how to solve this using Laplace?

Answer 1

\[f(t)=\sqrt{t}+3t\]

Answer 2

Not much to the steps. Go to the Laplace transforms table and look them up.
Laplace transform of root of t is:
\[\sqrt{t} = \frac{ \sqrt{\pi}}{2s^{\frac{3}{2} }}\]
Laplace transform of t to the n power:
\[t^{n}=\frac{n!}{s^{n+1}}\]
so \[3t=3\frac{1}{s^2}\]

Answer 3

How did you get sqrt(pi) @Rudy ?

Answer 4

I looked it up on the table. That's how it's listed.
Are you solving using the definition of a Laplace transform?

Answer 5

I think I am supposed to, I don't see that on my table.