(a) Determine Laplace Transform of the following function: S(1t)=e" sin 4t (b) Find the inverse Laplace Transform of the following function: s+2 F(s) =- (s +2)² +9 (c) Solve the following Second order...

Extracted text: (a) Determine Laplace Transform of the following function: S(1t)=e" sin 4t (b) Find the inverse Laplace Transform of the following function: s+2 F(s) =- (s +2)² +9 (c) Solve the following Second order Ordinary Differential Equation (ODE) using Laplace Transform: y -5y +6y=0 y(0) = 2 y(0) =2