Exercise 6.3.5: 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 (system is critically damped). Write the solution as a definite integral.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Exercise 6.3.5: 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 (system is critically
damped). Write the solution as a definite integral.
Transcribed Image Text:Exercise 6.3.5: 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 (system is critically damped). Write the solution as a definite integral.
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