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Unformatted text preview: x = 0 where 4 represents the spring constant and d the damping coecient (a positive number). For which values of d is the system undamped, underdamped, or overdamped? 13. Suppose we have a mass on a spring described by the dierential equation x 00 + 4 x = 0 (1) Find the natural resonant frequency of this oscillator. Call this . (2) Find any specic solution to the forced oscillator equation x 00 + 4 x = cos( t ) (3) Solve for, using the same , any specic solution to the forced and damped equation x 00 + 2 x + 4 x = cos( t ) 1...
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This note was uploaded on 12/10/2011 for the course MATH 2700 taught by Professor Staff during the Fall '08 term at University of Georgia Athens.
 Fall '08
 Staff
 Differential Equations, Equations

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