Question: Problem 6.(1 point)Let x(t)=[x1(t)x2(t)]be a solution to the system of differential equations:x1'(t)=-29x1(t)-24x2(t)x2'(t)=32x1(t)+27x2(t)Ifx(0)=[-24], find x(t).Put the eigenvalues in ascending order when you enter x1(t),x2(t) below.Note: You

Problem 6.(1 point)Let x(t)=[x1(t)x2(t)]be a solution to the system of differential equations:x1'(t)=-29x1(t)-24x2(t)x2'(t)=32x1(t)+27x2(t)Ifx(0)=[-24], find x(t).Put the eigenvalues in ascending order when you enter x1(t),x2(t) below.Note: You can earn partial credit on this problem.

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