Question

So this is the question I asked and this is the answer I got. I still have a few doubts over the questions and would like clarification.
An engineering system of a moving object is represented by the second order differential equation as shown in Eqn. Q2: y"(t) + 4y(t) = = -a Eqn. Q2 where a is any real number (a>0). If the object starts from the equilibrium position and is given a push to start it with an initial velocity of b m/s. a. Use your choice of a and b, solve this differential equation using Laplace Transform and identify the position of the object after 7 seconds. List down all the assumptions made and propose an alternative method to solve this differential equation. (4 marks) b. Since the engineering system shown in Eqn. Q2 is experiencing a damping effect, you need to model the real system by incorporating the damping coefficient. List down all the assumptions made including the selection of damping coefficient. Solve the second order differential equation that has been incorporated with the damping coefficient using Laplace Transform and identify the position of the object after 7 seconds. Compare the result with the answer obtained from part 2(a). (6 marks) [Total = 10 marks]

Three things I want clarification on:

1) What are the assumptions made in part a and part b
2) A step by step clarification of the solving process of the answer above

3) A solution to part B and an explanation on what is the damping coefficient and what the comparison of the answers would mean.

Answer 1

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