Find the solution of the initial-value problem y" - 7y" +9y' - 63y = sec 3t, y(0) = 2, y'(0) = 3, y″(0) = 69. A fundamental set of solutions of the homogeneous equation is given by the functions: y₁(t)= eat, where a = y₂(t)= = Y3 (t) = A particular solution is given by: = Y(t) = [ to + + Therefore the solution of the initial-value problem is: y(t) = ds-y₁(t) -Y2(t) • Y3 (t) +Y(t)

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