Prove that all solutions y (t) of ay" + by' + cy = f (t) are of exponential order if f
Chapter 2, Problem 21(choose chapter or problem)
Prove that all solutions y (t) of ay" + by' + cy = f (t) are of exponential order if f (t) is of exponential order. Hint: Show that all solutions of the homogeneous equation are of exponential order. Obtain a particular solution using the method of variation of parameters, and show that it, too, is of exponential order.
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