To pinpoint the problems that come with the modeling and simulation of hybrid systems, the ARGESIM C21 benchmark 'State Events and Structuraldynamic Systems' describes three such systems and a lot of corresponding tasks. It is solved here using the well-known simulation environment Simulink, the solutions are based on a direct modeling of the ODEs or DAEs describing the systems. To this end, special schemes have been necessary sometimes, some of which are already provided by Simulink, others had to be modeled explicitely.