Suppose that y = c1f(t) + c2g(t) is the general solution to a 2nd order linear homogeneous differential equation. Which of the following (if any) is true? (Choose one) There are nonzero real numbers a and b such that f (t) = eat and g(t) = ebt O f(t) and g(t) are linearly dependent. O f(t)g'(t) – g(t) f'(t) # 0 on the domain of validity. O y = f(t)g(t) is a solution to the differential equation. O f(t)g'(t) – g(t)f'(t) = 0 for some value of t. O None of the above are true.

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