A direct derivation of the steady-state solution, when it exists, of a system of differential equations can often be found by the following procedure. Assuming that the system evolves to constant values for large times, all time derivatives can be set to zero. The problem reduces to a system that can often be solved analytically. Use this procedure to find the steady-state solution directly from (4.22), (4.23), and (4.24), verifying (4.28).

dM Mo - Mz (4.22) = dt T1 dM. (4.23 dt = woMy - T2 My = -WOMx (4.24) dt T2 Mx (90) = My(00) = 0, Mz(0) = Mo (4.28