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) − 5y″ + 8 y′ − 4y = 0; y(0) = 1, y′ (0) = 4, y″(0) = 0; y1 = ex, y2 = e2x, y3 = e3x
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