EBME 308 Fall 2026– Quiz 13 with 100%
accurate solutions 2026- Case Western
Reserve University
) Name: ____________________________
Lab Day:___________________________
1. (8 pts) Consider the system defined by:
𝐷 10𝐷 25 𝑦 𝑡 𝐷 1𝑓𝑡
with input 𝑓 𝑡 3𝑒 𝑢 𝑡 and initial conditions 𝑦 0 1, 𝑦 0 2. Find both the zero‐state
response and the zero‐input response. Clearly indicate which is which. (Hint: partial fraction decomposition
, (10 min) Name: ____________________________
Lab Day:___________________________
pts)
2. (2 For the system defined by the following transfer function, write the differential equation that relates
the input 𝑓 𝑡 with the output 𝑦 𝑡
accurate solutions 2026- Case Western
Reserve University
) Name: ____________________________
Lab Day:___________________________
1. (8 pts) Consider the system defined by:
𝐷 10𝐷 25 𝑦 𝑡 𝐷 1𝑓𝑡
with input 𝑓 𝑡 3𝑒 𝑢 𝑡 and initial conditions 𝑦 0 1, 𝑦 0 2. Find both the zero‐state
response and the zero‐input response. Clearly indicate which is which. (Hint: partial fraction decomposition
, (10 min) Name: ____________________________
Lab Day:___________________________
pts)
2. (2 For the system defined by the following transfer function, write the differential equation that relates
the input 𝑓 𝑡 with the output 𝑦 𝑡
