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Use the Laplace transform to solve the following initial value problem, y′′ − 5y′ − 36y  ...

Use the Laplace transform to solve the following initial value problem,

y′′ − 5y′ − 36y  =  δ(t − 8),y(0)  =  0,  y′(0)  =  0.

The solution is of the form ?[g(t)] h(t).
(a) Enter the function g(t) into the answer box below.
(b) Enter the function h(t) into the answer box below.
Math   Calculus   
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