Lie symmetry analysis utilizes the invariance of differential equations under (usually point) transformations to obtain solutions. The Painleve analysis provides a qualitative determination of the behavior of solutions of differential equations. In particular, it is used to determine if the solution of an equation is free of movable poles. Dynamical systems analysis also provides a qualitative analysis of differential equations. In this method, the long term behavior of the system being analyzed is determined. In this talk, we will explore the interplay of these three different methods of analysis in obtaining information about solutions of differential equations. We take examples from different physical problems and indicate how each method provides different (and complementary) informations about the system under study.