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In Exercises 11-13, we consider the equation d2 y dy m d12 +b- -+ ky = 0 dt that models the motion of a harmonic oscillator with mass m, spring constant k, and damping coefficient b. In each exercise, we fix two values of these three parameters and obtain a one-parameter family of second-order equations. For each one-parameter family, (a) rewrite the one-parameter family as a one-parameter family of linear systems, (b) draw the curve in the trace-determinant plane obtained by varying the parameter, and (c) in a brief essay, discuss the different types of behavior exhibited by this one- parameter family. 11. Consider day d12 + +6+ 3 y = 0. dt That is, fix m = 1 and k = 3, and let 0