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Solve each of the following systems by the eigenvalue method. If ICs are given, find the...

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Advance Math

Solve each of the following systems by the eigenvalue method. IfICs are given, find the particular solution to the system. If noICs are given, find the general solution. Write all solutions invector form.

x'1 = -2x1 + 5x2,x'2 = -6x1 + 9x2; x1(0)= 1; x2(0) = 3

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