Question

In: Advanced Math

1. Use the Laplace transform to solve the initial value problem. ?"+4?′+3?=1−?(?−2)−?(?−4)+?(?−6), ?(0)=0, ?′(0)=0 2. Use...

1. Use the Laplace transform to solve the initial value problem.
?"+4?′+3?=1−?(?−2)−?(?−4)+?(?−6), ?(0)=0, ?′(0)=0

2. Use the Laplace transform to solve the initial value problem.
?"+4?=?(?), ?(0)=1, ?′(0)=−1

    = { 1, ? < 1
where ?(?) =   {0, ? > 1.

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