Question: SG. Use Laplace transform to solve the two initial value problems(a)y''+y=cos(2t),y(0)=0,y'(0)=1.(b)y''+4y=f(t), with f(t)={1,0t0,t.y(0)=1y'(0)=0.

SG. Use Laplace transform to solve the two initial value problems(a)y''+y=cos(2t),y(0)=0,y'(0)=1.(b)y''+4y=f(t), with f(t)={1,0t0,t.y(0)=1y'(0)=0.

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