Recall that our generalized system of equations can be written in matrix notation for problems with linear source and sink terms as


dt ( )RVc

Ac b= + (4.20 repeated)

and for nonlinear systems as


dt ( ( ) )

( ) R c Vc

Ac f c b= + + (4.22 repeated)

In Chapter 5, we discussed the steady-state solutions to these equations. Here we discuss how to solve these dynamic equations in time.