2. Consider a spring-mass system with an external force 38(t – 4) + sin(t), which is described by y" + 2y' + y = 38(t – 4) + sin(t), t>0 where y(t) is the displacement of the mass from equilibrium at...

0 where y(t) is the displacement of the mass from equilibrium at time t. Initially the mass is at rest in the equilibrium position. (a) Use Laplace transforms to solve the differential equation. Express your final answer for y(t) without using any unit step functions. (b) Using MATLAB, verify that your answer to part (a) is the solution of the system. "/>
Extracted text: 2. Consider a spring-mass system with an external force 38(t – 4) + sin(t), which is described by y" + 2y' + y = 38(t – 4) + sin(t), t>0 where y(t) is the displacement of the mass from equilibrium at time t. Initially the mass is at rest in the equilibrium position. (a) Use Laplace transforms to solve the differential equation. Express your final answer for y(t) without using any unit step functions. (b) Using MATLAB, verify that your answer to part (a) is the solution of the system.