Find 1-e¯¹ −²t²e²t + 4te²t + ½e²t Option 1 5s2-15s-11. (s+1)(s-2)3. 2- e-t + t²e²t - 4te²t - e²t Option 2 3-e-3t-t²e-2t2te²t.
Find 1-e¯¹ −²t²e²t + 4te²t + ½e²t Option 1 5s2-15s-11. (s+1)(s-2)3. 2- e-t + t²e²t - 4te²t - e²t Option 2 3-e-3t-t²e-2t2te²t.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text:III.
Find L-15²-15s-11)
(s+1)(s-2)3.
docs.google.com
1-et-t²e²t+4te²t+e²t
Option 1
2- et + t²e²t - 4te²te²t
Option 2
1
3-e-3t-t²e-2t2te²t+e-²t
10:01
Expert Solution

Step 1
We have to find the inverse Laplace of that is .
First of all, we will take a partial fraction , which is given below
Hence,
Hence, .
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Solved in 2 steps

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