ECE486 Assignment # 01 Solution

Question 1

a) Write down the dynamic equation in the form of a 2nd order differential equation.
(2 points)
b) Write down the state-space equation of the system. (2 points)
c) Express the equation in the s-domain. (4 points)
d) Obtain the system response for the input f(t)=50sin(t). (7 points)


Question 2
a) Obtain the impulse response, x(t), of the system with a transfer function (2 points)
8𝑠
𝑋(𝑠) = 2 + 1
4𝑠
b) Show that FVT is not applicable and briefly explain why. (3 points)