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) -5y" +8y'-4y = 0; y(0) = 1, y' (0) = 4,

y(3) -5y" +8y'-4y = 0; y(0) = 1, y' (0) = 4, y'" (0) = 0; y = ex, y2 = ex, y3 = 2x

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