Question: For Problems, verify that the given functions y1 and y2 are solutions of the given differential equation, then show that c1 y1 (t) + c2

For Problems, verify that the given functions y1 and y2 are solutions of the given differential equation, then show that c1 y1 (t) + c2 y2 (t) is also a solution for any real number c1 and c2.
a. y′′ − 9y = 0; y1 = e3t y2 = e-3t
b. y′′ + 4y = 0; y1 = sin 2t y2 = cos2t

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a y 9y 0 y 1 e 3t y 1 3e 3t y 1 9e 3t so that y 1 9y 1 9e 3t 9e ... View full answer

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