3) Find the roots of the denominator of each F(s) and identify its cases for par

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3) Find the roots of the denominator of each F(s) and identify its cases for partial fraction expansion. e.g. cases I, II, III, and IV and F(s) may belong to more than one case (sec partial fraction examples 1-4 at non-narrated lecture 9 and examples, pp. 28-30 of lecture 9) Extra-credit Find the transient motion (i.e. homogeneous solution) and the steady state oscillation (i.e. nonhomogeneous solution) of the mass-spring system modeled by the following ODE: 4y'' + 8y' + 13y = 8 sin 1.5t + cos t. Notice that the independent variable is t here. (10 points)

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3) Find the roots of the denominator of each F(s) and identify its cases for par

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