Consider the initial value problem y″+9y=g(t),y(0)=0,y′(0)=0, where g(t)={t0 if 0 ≤ t <2 if 2 ≤ t < [infinity]. Take the L
aplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s).
