Find the Laplace transform Y(s)=L{y} of the solution of the given initial value problem.
y''+9y={(t, 0≤t<1 1, 1≤t<[infinity]), y(0)=3, y'(0)=4
Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n).
Y(s)= ____.