  We further elaborate on the solvability of stochastic partial differential
equations (SPDEs). We shall discuss non-autonomous partial differential
equations with an abstract realization of the stochastic integral on the
right-hand side. Our approach allows the treatment of equations with mixed
type, where classical solution strategies fail to work. The approach extends
prior observations in [S\"u\ss, A. \& Waurick, M. A Solution Theory for a
General Class of SPDEs. \emph{Stochastics and Partial Differential Equations:
Analysis and Computations}, 2017, 5, 278-318], where the respective results
were obtained for linear autonomous equations and (multiplicative) white noise.
