The Laplace transform, F(s), of this function f(t) = 8 sin (4t+ 7), t> 0 4 for s> 0 is: F(s) = The general solution to this ODE: is: y'' + 2y' - 3y = (t²- 3t - 2)e-t y(t) = Use c₁ and c₂ for any undetermined constants in your solution.