Question: In Problems 13 through 20, a third-order homogeneous linear equation and three linearly independent solutions are given. Find a particular solution satisfying the given initial

In Problems 13 through 20, a third-order homogeneous linear equation and three linearly independent solutions are given. Find a particular solution satisfying the given initial conditions.

y(3)-3y" +4y'-2y = 0; y(0) = 1, y'(0) = 0, y" (0)

y(3)-3y" +4y'-2y = 0; y(0) = 1, y'(0) = 0, y" (0) = 0; y1 = ex, y2 = ex cosx, y3 = ex sin.x.

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