Question

In: Advanced Math

Use Laplace Transform to solve the initial value problem. Please show all work and steps clearly...

Use Laplace Transform to solve the initial value problem.

Please show all work and steps clearly so I can follow your logic and learn to solve similar ones myself. I will also rate your answer. Thank you kindly!

y′′ + 4y = f(t), y(0) = 0, y′(0) = 0,
where; 
f(t)= 1 if 1 ≤ t < 2,

0 otherwise

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