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Apply the eigenvalue method to solve the system x1'=x2, x2'=-8 x1 -6 x2, x'l(0)=2, x2(0)=-6. You can use a computer system to verify the eigenvalues,

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Apply the eigenvalue method to solve the system x1'=x2, x2'=-8 x1 -6 x2, x'l(0)=2, x2(0)=-6. You can use a computer system to verify the eigenvalues, but you need to show your hand calculations. What at time t=0.39, what is x1? Round your answer to 3 decimal places

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