In Problems through a third-order homogeneous linear equation and three linearly independent solutions are given. Find a particular solution satisfying the giveninitial conditions.
x3y(3) −3x2y″ + 6xy′−6y = 0; y(1) = 6, y′(1) = 14, y″(1) = 22; y, = x, y2 = x2, y3 = x3
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