Question
Obtain the inverse Laplace transform of
Answer :
Word Count : 237
We need to find the inverse Laplace transform of: \[ F(s) = \frac{2s - 3}{s^2 + 2s + 2} \] ### Step 1: Complete the Square in the Denominator The denominator is: \[ s^2 + 2s + 2 \] Rewriting it in a completed square form: \[ s^2 + 2s + 2 = (s+1)^2 + 1 \] So we ___ _________ _______ _______ ____ _______.
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_______ __________ _________ ___ _______ __________ __________ ____ ___.
__________ __________ __________ _________ ______.
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We need to find the inverse Laplace transform of: \[ F(s) = \frac{2s - 3}{s^2 + 2s + 2} \] ### Step 1: Complete the Square in the Denominator The denominator is: \[ s^2 + 2s + 2 \] Rewriting it in a completed square form: \[ s^2 + 2s + 2 = (s+1)^2 + 1 \] So we ___ _________ _______ _______ ____ _______.
_______ _________ _____ __________ ____.
_______ ____ _________ ___ ____.
________ _____ ________ _________ _____ _______ __________ ___ ____ __________ ____ ______.
_____ _______ ________ ________ _________ _______ _______.
__________ _______ _______ __________ __________ ______ ____ ________ ___.
______ ___ ____ ________ ________ ________ ________ ___.
____ _____ _______ ___ _____ _________ __________ ______.
________ _________ ___ ___ ________ _______ ________ ______ _________.
__________ ____ _______ _______ _____ ____ ______ ___ ____ ____ ________ _______.
___ _____ _______ __________ _________ ______.
__________ ____ ___ ______ _______ __________ ______ ________ _____ ________.
____ _________ ____ _______ ___ _______ ______ _____ _______ ____ _____ _________.
_________ ______ _____ ___ ______ ________ _____ ______ __________ __________.
________ ____ __________ ________ ______ __________ _______ ___ ________ ________.
________ __________ ____ _______ ___.
___ ___ _______ __________ _____ _________ _________.
___ ______ __________ ___ _______ __________.
__________ ___ ________ ___ _______ __________ _____ __________ __________ ___ _____ __________.
_______ ________ ________ ________ __________.
_______ __________ _________ ___ _______ __________ __________ ____ ___.
__________ __________ __________ _________ ______.
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