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A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions. 2 (3).

A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions. 2 (3). xy() 3xy'' + 6xy' 6y = 0; y(1) = 6, y(1) = 14, y(1) = 30; X 2 3 Y = x, y = X, Y3 = x The particular solution is y(x) =

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