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Exercise 6.3.3: Find the solution to mx" + cx' + kx = f(t), x(0)=0, x'(0) = 0, for an arbitrary function f(t), where m > 0, c> 0, k > 0, and c² - 4km > 0 (the system is overdamped). Write the solution as a definite integral.

Exercise 6.3.3: Find the solution to mx" + cx' + kx = f(t), x(0)=0, x'(0) = 0, for an arbitrary function f(t), where m > 0, c> 0, k > 0, and c² - 4km > 0 (the system is overdamped). Write the solution as a definite integral.

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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Exercise 6.3.3: Find the solution to mx" + cx' + kx = f(t), x(0)=0, x'(0) = 0, for an arbitrary function f(t), where m > 0, c> 0, k > 0, and c² - 4km > 0 (the system is overdamped). Write the solution as a definite integral.
Transcribed Image Text:Exercise 6.3.3: Find the solution to mx" + cx' + kx = f(t), x(0)=0, x'(0) = 0, for an arbitrary function f(t), where m > 0, c> 0, k > 0, and c² - 4km > 0 (the system is overdamped). Write the solution as a definite integral.
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