Evaluate , using convolution theorem.
To evaluate using the convolution theorem, we need to find the inverse Laplace transform of
We can use partial fraction decomposition to write:
Multiplying both sides by (s+1)(s^2+1), we get:
Equating coefficients of s^2, s, and constant terms, ____ ______ _________ ____ _____ _______ ______ ___ __________ _______.
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_________ ______ ____ _________ _________ _________.
__________ ____ _______ _______ __________ _____ ______.
___ ________ __________ ___ _________ __________.
____ ________ ______ _______ _______.
____ _________ __________ _____ ______ _____ _______ _______ ____ _________.
___ ________ ______ ___ __________ _____ ________.
________ ________ ________ ______ ________ ________ ___ ____ ________ _____ ________.
________ _____ _________ _______ ______ ____.
______ _____ _________ ________ _____ __________ _________.
_______ ______ ______ ______ ___ _____ _______ __________.
_______ _______ ________ ________ ____ _____ ______ ________ ____ ___.
______ ______ _____ ____ _________.
___ _____ ___ _________ _______ _____ __________ _______ ________ ____ ________.
___ __________ _______ _______.
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