Practice - Zero-Input Response (y_zi(t)): Response Due to Stored Energy Only
Practice Questions
Test your understanding with targeted questions
What is the zero-input response of a system?
💡 Hint: Think about how the system behaves based on what is initially present.
What is needed to determine the zero-input response?
💡 Hint: Recall how the stored energy impacts the response.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the zero-input response of a system?
💡 Hint: Focus on the meaning of 'zero-input'.
True or False: The homogeneous solution is not related to the zero-input response.
💡 Hint: What do you know about the relationship between the two?
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Challenge Problems
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For a given LTI system governed by the equation 3y''(t) + 2y'(t) + y(t) = 0, and with initial conditions y(0) = 5 and y'(0) = -3, find the zero-input response.
💡 Hint: This involves deriving a characteristic polynomial.
Explain how increasing initial energy storage in a system will affect the zero-input response's amplitude and oscillation frequency.
💡 Hint: Think about how energy translates to motion.
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