9. The general solution to the damped harmonic oscillator equation, takes one of the following forms:...

 

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9. The general solution to the damped harmonic oscillator equation, takes one of the following forms: mu" = -yu' -ku, (i) u(t) = cet + Ceat (ii) u(t) = citet + Cze (iii) u(t) = ce cos t + cet sin t. The form it takes depends on the specific values of the three parameters m, y, k > 0. Which of (i)-(iii) is the solution if (a) m is very large? (b) is very large? (c) k is very large? (Assume the other parameters are held constant.) For each of (a), (b), and (c), provide a response of (i), (ii), or (iii). 9. The general solution to the damped harmonic oscillator equation, takes one of the following forms: mu" = -yu' -ku, (i) u(t) = cet + Ceat (ii) u(t) = citet + Cze (iii) u(t) = ce cos t + cet sin t. The form it takes depends on the specific values of the three parameters m, y, k > 0. Which of (i)-(iii) is the solution if (a) m is very large? (b) is very large? (c) k is very large? (Assume the other parameters are held constant.) For each of (a), (b), and (c), provide a response of (i), (ii), or (iii).

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9 ANSWER a When m is very large the solution takes the fo... View the full answer