A set of demo programs for illustrating the use and behavior of the Matlab odexx integrators. Codes and data for two problems Radioactive Decay Chains: This problem solves for the activities of radioactive decay chains where nuclide 1 decays to nuclide 2 etc. to run load decaydata; % loads half-lives, initial conditions, integration times options=odeset; % sets defaults ode options (see odeset) figure; plotDecayChain(tHalf,a0,tRange,options,@ode45); to run stiff problem use decadatastiff; to try other ode solvers change @ode45 to @ode15s etc. Uses: decayChain.m to calculate RHS of the linear system da/dt = Aa VanDerPol oscillator: This problems solves for the time dependent behavior of the vanderpol non-linear oscillator Equations and RHS are given in vanDerPol.m to visualize a run for a given value of mu for an integration time of 30, using ode45 with default options mu=-6 tRange = [ 0 30]; options=odeset; figure; plotVanDerPol(mu, tRange, options, @ode45) seeVDPtol runs this twice with different relative and absolute tolerances