point) Consider the initial value problem
y" + 9y 27t,
y(0) = 3, y (0) = 7. Take the Laplace 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). Do not move any terms from one side of the equation to the other (until you get to part (b) below):
help
(formulas)
b. Solve your equation for Y(s)_
Y(s) L{y(t)}
Take the inverse Laplace transform of both sides of the previous equation to solve for y(t).
y(t)