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" − 121y = 0, y(x) = Ae11x + Be −11x,
y(0) = 44, y′(0) = 22
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