A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions. y(3) + 9y' = 0; y(0) = 5, y'(0) = - 2, y"(0) = 3; y1 = 1, y2 = cos (3x), y3 = sin (3x) The particular solution is y(x) =.

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