The paper presents a new version of the modified nodal method for analysis of the circuits with widely separated time scales. The key idea is to use multiple time variables, which enable signals with widely separated rates of variation to be represented efficiently. The differential algebraic equations (DAEs) describing the RF-IC circuits are transformed into multi-time partial differential equations (MPDEs). In order to solve MPDEs we use the associated resistive discrete equivalent circuits (companion circuits) for the dynamic circuit elements. The algorithm to formulate and to solve the dynamic modified nodal equations was implemented in a computing program, which constitutes a useful tool for steady-state analysis of a very large class of nonlinear analog circuits