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Transform the given system into a single equation of second-order x′1 =−8x1+9x2 x′2 =−9x1−8x2. Then find...

Transform the given system into a single equation of second-order x′1 =−8x1+9x2 x′2 =−9x1−8x2. Then find x1 and x2 that also satisfy the initial conditions x1(0) =7 x2(0) =3. Enter the exact answers. Enclose arguments of functions in parentheses. For example, sin(2x).

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