Question

Determine the Laplace transform of the function:

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01 Feb 2018
Answer :
Word Count : 48

L[F(t)]=\int_{0}^{x}e^{-px}F(x)dt

=\int_{0}^{2}e^{-pt}F(t)dt+\int_{2}^{x}e^{-pt}F(t)dt

=\int_{0}^{2}e^{-pt}1dt+\int_{2}^{x}e^{-pt}(t-2)dt

=\begin{bmatrix} &\frac{-1e^{-pt}}{p} \end{bmatrix}_{0}^{2}+\int_{2}^{x}te^{-pt}dt-2\int_{2}^{x}e^{-pt}dt ____ ________ ________ ________ ________.
__________ ______ ________ _________ ____ _________ ___.
_______ _________ _____ ____ __________.
____ _____ _______ ______ ___ __________ ___ _________ _________ _____ __________.
_________ _______ _______ _____.

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