Consider a system described by the following differential equation: j - 2y + y' = Zu, where Y and u are the output and input, respectively. (a) Derive a transfer function of the system. (b) Check the stability of the system.
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Step 1
The given differential equation is: j - 2y + y = Zu Taking the Laplace transform of both sides, we get: sY(s) - 2Y(s) + Y(s) = ZU(s) Now, we can factor out Y(s) and U(s) to find the transfer function: Y(s)(s - 2 + 1) = ZU(s) Divide both sides by U(s) and Z Show more…
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