We return to Exercises 1–4 in Section 2.3. (For convenience, the equations are reproduce...

We return to Exercises 1–4 in Section 2.3. (For convenience, the equations are reproduced below.) For each second-order equation,

(a) convert the equation to a first-order, linear system;

(b) compute the eigenvalues and eigenvectors of the system;

(c) for each eigenvalue, pick an associated eigenvector V, and determine the solution Y(t) to the system; and

(d) compare the results of your calculations in part (c) with the results that you obtained when you used the guess-and-test method of Section 2.3.

Reference: