Laplace transform of an expression using transform tables

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  • Thread starter PainterGuy
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  • #1
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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.
1587364477947.png


I used the following conversion formulas.
I think "1" is equivalent to unit step function who Laplace transform is 1/s.
1587364605853.png


I ended up with the following final Laplace transform.
1587364834778.png


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

  • #2
DrClaude
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Your Laplace transforms are correct, but not your subsequent algebra. The last term in the first (red) line is where the error appears.
 
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  • #3
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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".

1587371218734.png
 
  • #4
DrClaude
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You make the same mistake in the numerator, now at the beginning of the second line.
 
  • #5
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You make the same mistake in the numerator, now at the beginning of the second line.
Sorry!

It looks good now.
1587372103691.png
 
  • #6
DrClaude
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Correct!
 
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