find the laplace transform of this equation: \(\displaystyle{4}-{4}{t}+{2}{t}^{{2}}\) What

Beckham Short 2022-04-15 Answered
find the laplace transform of this equation:
44t+2t2
What I am doing:
4s4s2+4s3
4s24ss3+4s3
4s24s+4s3
But I am getting the wrong answer, can you please tell me what I am doing wrong?
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Answers (1)

Gonarsu2dw8
Answered 2022-04-16 Author has 19 answers
Using the linearity of the Laplace transform, we have
L(44t+2t2)=4L(1)4L(t)+2L(t2)=4s4s2+4s3
The lowest common denominator is s3, thus
4s4s2+4s3=4s2s34ss3+4s3=4s24s+4s3=4(s2s+1)s3
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