Question: (1 point) Consider the initial value problem y+2y=4t,y(0)=2. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic

(1 point) Consider the initial value problem y+2y=4t,y(0)=2. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform ofy(t)by(s).Do not move any terms from one side of the equation to the other (until you get to part (b) below).(1 point) Consider the following initial value problem:y''+16y={5t,0t<50,t5y(0)=0y'(0)=0Using Y for the Laplace transform ofy(t),i.e.,Y=L{y(t)},find the equation you get by taking the Laplace transform of the differential equation and solve forY(s)=

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