mf­pic4ode – Macros to draw di­rec­tion fields and so­lu­tions of ODEs

The pack­age is a small set of macros for draw­ing di­rec­tion fields, phase por­traits and tra­jec­to­ries of dif­fer­en­tial equa­tions and two di­men­sional au­tonomous sys­tems. The Euler, Runge-Kutta and 4th or­der Runge-Kutta al­go­rithms are avail­able to solve the ODEs. The pic­ture is trans­lated into mf­pic macros and Meta­Post is used to cre­ate the fi­nal draw­ing. The pack­age is was de­signed for use with LaTeX, but it can be used in plain TeX as well.
On­line demon­stra­tion of the mf­pic4ode macros is avail­able on the Mf­pic Pre­viewer as Ex­am­ple 6.