Solve the given initial value problem. dx dt =3x+y-e2t. x(0)=2 dy =2x+2y; y(0)=-6 dt y 1 2t The solution is x(t) = 3 5 -3t -2t -10e and y(t)=2x-10e

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A: There is no such introduction for the solution.I have explained it within the solution.Please go…