1. Use the Laplace transform to solve the given initial-value problem. y'' − 8y' + 16y = t, y(0) = 0, y'(0) = 1 y(t) = 2. Use the Laplace transform to solve the given initial-value problem....

1. Use the Laplace transform to solve the given initial-value problem.

y'' − 8y' + 16y = t, y(0) = 0, y'(0) = 1

y(t) =

2. Use the Laplace transform to solve the given initial-value problem.

y'' − 6y' + 13y = 0, y(0) = 0, y'(0) = −7

y(t) =

3. Use the Laplace transform to solve the given initial-value problem.

y'' + 4y = sin t (t − 2?), y(0) = 1, y'(0) = 0

y(t) =

Jun 05, 2022

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