EBME 308 | Fall 2026 – Quiz 5 With 100- accurate solutions 2026 - Case Western Reserve University.

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EBME 308 Fall 2026 – Quiz 5 With 100% accurate
solutions 2026 - Case Western Reserve University



1. (6 pts) The unit impulse response of an LTIC system ℎ(𝑡𝑡), and a system input 𝑓𝑓(𝑡𝑡)
are

Using Table 2.1, find the system’s zero-state response

ℎ(𝑡𝑡)=𝑒𝑒−𝑡𝑡𝑢𝑢(𝑡𝑡) 𝑓𝑓(𝑡𝑡)=𝑒𝑒−𝑡𝑡𝑢𝑢(𝑡𝑡−3)




b.
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2. (4 pts) Explain, with reasons, whether the LTIC systems described by the following
equations are asymptotically stable, marginally stable, or unstable.

a. (𝐷𝐷2 +8𝐷𝐷+12)𝑦𝑦(𝑡𝑡)=(𝐷𝐷−1)𝑓𝑓(𝑡𝑡)




𝐷 ( 𝐷 2 + 3𝐷 + 2) 𝑦 ( 𝑡 ) = ( 𝐷 + 5) 𝑓 ( 𝑡 )
𝐷 𝐷 𝐷 𝑦 𝑡 𝐷 𝑓 𝑡




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