Solve the given system of differential equations by systematic elimination. Select all solutions to the system. 3x +6y dt dy -2y dt O x(t) Ce2t +c2e3t y(t)- 5c1e2t = O x(t) c2e3t y(t) ce2t = O x(t) 6ce 2 + Cze3 y(t) -5c1e2 O x(t) ce C2e3t y(t) -3c2e3t

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A: solution of the given problem is below...

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