The first-order coupled differential equations for waves in inhomogeneous warm magnetoplasmas

The first-order coupled differential equation for waves in gyrotropic inhomogeneous warm magnetoplasmas are derived for the case where the plasma parameters N
0
(z), T
0
(z), v(z), and H
0
(z) vary in the z direction only. In this form they are well sited for solution on a digital computer by the Runge-Kutta method.