Consider harmonic oscillators with mass m, spring constant k, and damping coefficient b. for the values specified, (a) write the second-order differential equation and the corresponding first-order sys- tem; (b) find the eigenvalues and eigenvectors of the linear system; (c) classify the oscillator (as underdamped, overdamped, critically damped, or un damped) and, when appropriate, give the natural period; (d) sketch the phase portrait of the associated linear system and include the solution curve for the given initial condition, and (e) sketch the y(i)- and (o-graphs of the solution with the given initial condition. 13. m = 1, k = 7, b= 8, with initial conditions yo) = -1, v(0) = 5