Question

Determine the Laplace transform of the following functions. δ(t)H(t − 2) + δ(t − 3)H(t)   answer...

Determine the Laplace transform of the following functions.

δ(t)H(t − 2) + δ(t − 3)H(t)  

answer :1+e^-3s

y '' + 3y' + 2y = (2t + 1)H(t − 3), y(0) = 1, y ' (0) = 2

answer

y(t) = 4e^ −t − 3e ^−2t + (3e −2t+6 − 5e −t+3 + t − 1)H(t − 3)

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