Consider an initial value problem ?′′ + 2? = ?(?) = cos? (0 ≤ ? <...

Consider an initial value problem

?′′ + 2? = ?(?) = cos? (0 ≤ ? < ?) , 0 (? ≥ ?)

?(0) = 0 and ?′(0) = 0

(a) Express ?(?) in terms of the unit step function.

(b) Find the Laplace transform of ?(?).

(c) Find ?(?) by using the Laplace transform method.

Expert Solution

Colby Messinger answered 2 years ago

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