3. Find the general solution of the system of differential equations d X = dt 8. -5 10 cos(7t) – 7 sin(7t) ) 10 cos(7t) 7 cos(7t) + sin(7t) 10 sin(7t) ). + 4t°e7t + 8t"e7t Hint: The characteristic polynomial of the coefficient matrix is X2 14A + 98. Moreover Xp(t) = t*e7t ( cos(7t) – 7 sin(7t) 10 cos(7t)") +t 7 cos(7t) + sin(7t) 10 sin(7t) ) is a particular solution of the system.

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