(1 point) Take the Laplace transform of the following initial value problem and solve for Y(s)=L{y(t)}: y′′−5y′−14y=S(t)y(0)=0,y′(0)=0 where S is a periodic function defined by S(t)={1,0,0≤t<11≤t<2, and S(t+2)=S(t) for all t≥0. Hint: : Use the formula for the Laplace transform of a periodic function. Y(s)= (1-e^(-s))/(s(1-e^(-2s))) equation editorEquation Editor