EBME 308 | Final Exam 2026 Latest updated exam | with 100% accurate solutions + rationales -- Case Western Reserve University

EBME 308 Final Exam 2026 Latest
updated exam with 100% accurate
solutions + rationales -- Case Western
Reserve University EBME 308
Name:___________________________________
1. (6 pts)
a. (3 pts) Sketch the signal 𝑓𝑓(𝑡𝑡) = 𝑡𝑡2[𝑢𝑢(𝑡𝑡) −𝑢𝑢(𝑡𝑡− 2)] + (2𝑡𝑡− 8)[𝑢𝑢(𝑡𝑡− 2) −𝑢𝑢(𝑡𝑡− 4)] b.
(3 pts) Sketch 𝑔𝑔(𝑡𝑡) = 𝑓𝑓(2𝑡𝑡)




2. (4 pts) For each of the following systems, 𝑓𝑓(𝑡𝑡) and 𝑦𝑦(𝑡𝑡) are the input and output of the system,
respectively. Determine whether the system is linear or nonlinear, and time variant or time invariant.

,EBME 308 Final Exam 2026 Latest
updated exam with 100% accurate
solutions + rationales -- Case Western
Reserve University EBME 308
Name:___________________________________
𝑑𝑑 4 𝑑𝑑𝑑𝑑(𝑑𝑑)
𝑑𝑑
𝑑𝑑
+3 𝑦(𝑡)= 𝑑𝑑
a. (2 𝑦 𝑡 pts)
𝑑𝑑 𝑑𝑑




b. (2 pts) 𝑦𝑦(𝑡𝑡) = sin 𝑡𝑡𝑓𝑓(𝑡𝑡− 1)




3. (6 pts) Given an LTIC system specified by the equation:

(𝐷𝐷2 + 4𝐷𝐷 + 4)(𝐷𝐷2 + 5𝐷𝐷 + 6)𝑦𝑦(𝑡𝑡) = (𝐷𝐷− 1)𝑓𝑓(𝑡𝑡)
a. (2 pts) What are the characteristic roots of this system?




b. (3 points) What are the characteristic modes of this system?

, EBME 308 Final Exam 2026 Latest
updated exam with 100% accurate
solutions + rationales -- Case Western
Reserve University EBME 308
Name:___________________________________
c. (1 point) Is this system unstable, asymptotically stable, or marginally stable?




4. (4 pts) Given the signals 𝑓𝑓(𝑡𝑡) and ℎ(𝑡𝑡) shown below, use the graphic method to find the
convolution
of 𝑓𝑓(𝑡𝑡) and ℎ(𝑡𝑡) evaluated at 𝑓𝑓(𝑡𝑡) and ℎ(𝑡𝑡)