In tha Problem, a second-order differential equation and its general solution y(x) are given. Determine the constants A and B so as to find a solution of the differential equation that satisfies the given initial conditions involving y(0) and y′(0).
y" + 2yʹ − 15y = 0, y(x) = Ae3x + Be −5x,
y(0) = 40, y′(0) = −16
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