Solve the given system of equations. Assume t > 0. tx' = Ax is analogous to the second order Euler equation. Assuming that x = &t", where is a constant vector, & Hint: The system tx' = and r must satisfy (A – rI)§ = 0 in order to obtain nontrivial solutions of the given differential equation. x = c1 A + C2 ,-2 1 x = C1 -1 + c2 4 x = c | |t + c2 X = C1 12 + C2 (:). X = c1 t + c2

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