dy dy Consider the second-order equation + p- + qy = 0, where p and q are positive. dt dt (a) Convert this equation into a first-order linear system. (b) Compute the characteristic polynomial of the system. (c) Find the cigenvalues. (d) Under what conditions on p and q are the eigenvalues two distinct real numbers?

Q: what about question (c)(i) and (ii)

A: a Solution

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