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Find the general solution to the system x" = 5x + 2y, y" = 2x +...

Find the general solution to the system x" = 5x + 2y, y" = 2x + 8y. Note that the system as stated above has second derivatives. Once you write it as a first-order system, the characteristic equation will be biquadratic (quadratic in λ2), so you can solve for λ2 and then take square roots to get the eigenvalues.

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