Use the variation of parameters formula to find a general solution of the system x'(t) = Ax(t) + f(t), where A and f(t) are given. - 16 4 f(t) = t-1 A = 4 - 1 9+ 4t -1 Let x(t) = x, (t) + x, (t), where x, (t) is the general solution corresponding to the homogeneous system, and x, (t) is a particular solution to the nonhomogeneous system. Find x, (t) and Xp (t). Xh (t) = Xp (t) = | (Type your answer as a single matrix.)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.