1) Consider the following ODE for a system with input π₯π₯(π‘π‘) and
output π¦π¦(π‘π‘):
π¦π¦β²β²(π‘π‘) β3π¦π¦β²(π‘π‘) + 2π¦π¦(π‘π‘) = π₯π₯(π‘π‘)
a) Find the transfer function π»π»(π π ).
b) Sketch the systemβs ROC in the s-domain.
c) If it exists, find π»π»(ππ) and specify the filter type. Justify
your answer.
d) Find the output, π¦π¦(π‘π‘), when π₯π₯(π‘π‘) = 0 and the initial
conditions on π¦π¦(π‘π‘) are
π¦π¦(0) = 1 and π¦π¦β²(0) = 0.
e) Find the output, π¦π¦(π‘π‘), when π₯π₯(π‘π‘) = π’π’(π‘π‘) and all initial
conditions are zero.
f) Find the output, π¦π¦(π‘π‘), when π₯π₯(π‘π‘) = π’π’(π‘π‘) and the initial
conditions on π¦π¦(π‘π‘) are
π¦π¦(0) = 1 and π¦π¦β²(0) = 0.
1) Consider the following ODE for a system with input 𝑥𝑥(𝑡𝑡) and output 𝑦⻗
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answerhappygod
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1) Consider the following ODE for a system with input 𝑥𝑥(𝑡𝑡) and output 𝑦⻗
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