Problem 1
[10 Marks]
For the following function
a) Plot y(t) versus time
b) Find the Laplace transform Y(s)

Problem 2
[10 Marks]
Find the solution of the following differential equation using Laplace transforms. The initial conditions for y(t) and its derivatives are zero and the forcing function is the unit step function.

Problem 3
[15 Marks]
Solve the system of differential equations using Laplace transforms. Plot the results for y1(t) and y2(t) over the interval 0 to 10.
Useful Transforms

Differential equations and Laplace transforms are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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