Problems 39 and 40 illustrate Iwo types of resonance in a mass-spring-dashpot system with given external force F(t) and with the initial conditions
Suppose that m = 1, k = 9, c = 0, and F(t) = 6 cos 3t. Use the inverse transform given in Eq. (16) to derive the solution x(t) = t sin 3t. Construct a figure that illustrates the resonance that occurs.
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