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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 seconds. Find the function y (t) that models this system. = 5

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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