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

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A homogeneous second-order linear differential equation, two functions yl and y2 , and a pair of initial conditions are given below. First verify that yl and y2 are solutions of the differential equation. Then find a particular solution of the form J' = 1y1 + 2Y2 that satisfies the given initial conditions. y-10YI=0; y1=1, y2=e1'; y

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