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A homogeneous second-order linear differential equation, two functions y1 and y2 , and a pair of initial conditions are given below. First verify that y1

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A homogeneous second-order linear differential equation, two functions y1 and y2 , and a pair of initial conditions are given below. First verify that y1 and y; are solutions of the differential equation. Then find a particular solution of the form y = 61371 + 2Y2 that satisfies the given initial conditions. y\" + 49y = 0; y1 = 008(7):), m = sin(7X); y(0) = 7, y'(0) = -8- We) = C]

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