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) + 6x2y″ + 4x y′ − 4y = 0; y(1) = 1, y′(1) = 5, y″(1) = —11; y1 = x, y2 = x−2, y3 = x−2 In x
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