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I have the following system of differential equations: $ \begin{pmatrix}\dfrac{d\eta}{dt} \\\dfrac{d\eta^{\dagger}}{dt} \end{pmatrix} = \begin{pmatrix}(1+I\kappa)(w-IJ) & R_1+i R_1\kappa \\-R_1+IR_1\kappa & (IJ+w)(-1+i\kappa)\\\end{pmatrix} ...