9.6-9.7: Complex Eigenvalues, Variation of Parameters
If a real matrix Ahas complex eigenvectors x iy with complex eigenvalues i , then two real solutions to the system x0= Ax are x 1(t) ... Variation of Parameters x(t) = X(t)c+ X(t) Z X 1(s)f(s)ds Use the method of variaton of parameters given above to nd a general solution of the system x0(t) = 2 1 3 t2 x(t) + 2et ................
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