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

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Advance Math

Consider an initial valueproblem             

??? + 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.

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