  We elaborate further on the metric representation that is obtained by
transferring the time-dependence from a Hermitian Hamiltonian to the metric
operator in a related non-Hermitian system. We provide further insight into the
procedure on how to employ the time-dependent Dyson relation and the
quasi-Hermiticity relation to solve time-dependent Hermitian Hamiltonian
systems. By solving both equations separately we argue here that it is in
general easier to solve the former. We solve the mutually related
time-dependent Schroedinger equation for a Hermitian and non-Hermitian spin
1/2, 1 and 3/2 model with time-independent and time-dependent metric,
respectively. In all models the overdetermined coupled system of equations for
the Dyson map can be decoupled algebraic manipulations and reduces to simple
linear differential equations and an equation that can be converted into the
nonlinear Ermakov-Pinney equation.
