1) Suppose the charge on a capacitor in a simple electric circuit is governed by the IVP 2y" + y + 2y = f (t), y (0) = 0, y (0) = 0, Suppose the forcing function f (t) represents a spike (that is, an impulse) in the voltage at to seconds. Find the function y (t) that models this system. = 5

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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1) Suppose the charge on a capacitor in a simple electric circuit is governed by the IVP
2y" + y + 2y =f (t), y(0) = 0, y (0) = 0,
Suppose the forcing function f (t) represents a spike (that is, an impulse) in the voltage at to = 5
seconds. Find the function y (t) that models this system.
Transcribed Image Text:1) Suppose the charge on a capacitor in a simple electric circuit is governed by the IVP 2y" + y + 2y =f (t), y(0) = 0, y (0) = 0, Suppose the forcing function f (t) represents a spike (that is, an impulse) in the voltage at to = 5 seconds. Find the function y (t) that models this system.
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