# Laplace transform of an expression using transform tables

• I

## Summary:

I was working to find Laplace transform using the table and wanted to know that if my final result is correct
Hi,

I 'm trying to find the Laplace transform of the following expression.

I used the following conversion formulas.
I think "1" is equivalent to unit step function who Laplace transform is 1/s.

I ended up with the following final Laplace transform.

Is my final result correct? Thank you for the help!

Last edited by a moderator:

DrClaude
Mentor
Your Laplace transforms are correct, but not your subsequent algebra. The last term in the first (red) line is where the error appears.

PainterGuy
The last term in the first (red) line is where the error appears.
I tried to fix the error. Could you please give it a look? For some reason, I think that in the numerator I should only get "10" and not "2s+10".

DrClaude
Mentor
You make the same mistake in the numerator, now at the beginning of the second line.

You make the same mistake in the numerator, now at the beginning of the second line.
Sorry!

It looks good now.

DrClaude
Mentor
Correct!

PainterGuy