4. Now consider the undamped version of (0.1), with forcing term F(t): = (0.4) mu" =-ku + cos Bt. Using the method of undetermined coefficients, find a particular solution to the equation (0.4). Then find the general solution of equation (0.4). Assume that 3 > 0 and that is different from the natural frequency of the oscillator, that is, ß ‡ √k/m. You must show all of your work A particular solution of (0.4) is U (t) = = cos Bt, The general solution of (0.4) is u(t) =
4. Now consider the undamped version of (0.1), with forcing term F(t): = (0.4) mu" =-ku + cos Bt. Using the method of undetermined coefficients, find a particular solution to the equation (0.4). Then find the general solution of equation (0.4). Assume that 3 > 0 and that is different from the natural frequency of the oscillator, that is, ß ‡ √k/m. You must show all of your work A particular solution of (0.4) is U (t) = = cos Bt, The general solution of (0.4) is u(t) =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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