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

y (3)-3y" + 3y'-y = 0; y(0) = 2, y'(0) = 0, y" (0) = 0; y1 = ex, y2 = xex, y3 = xex

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