Let x(t) = x' (t) x₂ (t) = = £1(t) x₂ (t) -5 x₁(t) -2x1(t) 2 be a solution to the system of differential equations: + 3 x₂(t) 10 x ₂ (t) find x (t). If x (0) = Put the eigenvalues in ascending order when you enter x₁(t), 2(t) below. x₁ (t) = exp(t)+ exp([ t) x₂(t) = exp(t)+ exp( [ t)

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A: Here is the solution of the given problem. Differential equation to system of differential equation.

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A: See the attachment

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A: Explanation of the answer is as follows

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A: See the detailed solution below.

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A: Here we will evaluate each value.

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Q: = -764x +960y = -608x + 764y = −10, y(0) = −8

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