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Show that f(x) = C1e4x + C2e-2x is a solution to the differential equation: y’’ –...

Show that f(x) = C1e4x + C2e-2x is a solution to the differential equation: y’’ – 2y’ – 8y = 0, for all constants C1 and C2. Then find values for C1 and C2 such that y(0) = 1 and y’(0) = 0.

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