Question: Use the Laplace transform to solve the following initial value problem:y + 7 y = 0 y ( 0 ) = 1 , y (

Use the Laplace transform to solve the following initial value problem:y+7y=0y(0)=1,y(0)=1
First, using Y for the Laplace transform of y(t), i.e., Y=L{y(t)},
find the equation you get by taking the Laplace transform of the differential equation
=0
Now solve for Y(s)=
and write the above answer in its partial fraction decomposition, Y(s)=As+a+Bs+b where a

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