In Problems through a third-order homogeneous linear equation and three linearly independent solutions are given. Find a particular solution satisfying the giveninitial conditions.
y(3) − 3y″ + 3y′ − y = 0; y (0) = 2, y′ (0) = 0, y″(0) = 0; y1 = ex, y2 = xex, y3 = x2ex
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