MATLAB/Cookbook/Ordinary differential equations

Numerical code for a single first order ode
This has yet to be constructed

Numerical code for a non-stiff system of equations
function [] = odeNumericalSolver(~) %ODENUMERICALSOLVER numerically solves a non-stiff ode. % It solves and plots the ode associated with an object falling under high % Reynolds number air drag.

% It can be reconfigured if this function is to be called (i.e., if it is % to be called to return Y and T) % There is no need for the next line if this function is to be called: clc;close all; clear all; % The following and all other such parameters must be made global because % the defining function (called odeMat) can take only to input arguments. global drag; drag=.1; timeRange =[0 1.5]; % zero to one seconds initCnds = [17*12*2.54/100,0]; % initCnds = [17 feet converted to meters, initial velocity] options = odeset('RelTol',1e-4,'AbsTol',[1e-4 1e-4]); %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% [T,Y] = ode45(@odeMat,timeRange,initCnds,options); figure % Is this needed? subplot(1,2,1) % (2 rows, 1 column, plot 1) plot(T,Y(:,1),'.','Markersize',10); grid; title('position versus time');% subplot(1,2,2) % (2 rows, 1 column, plot 2) plot(T,Y(:,2),'.','Markersize',10); grid; title('velocity versus time');% end %%%%%%%%%% function dq = odeMat(t,q) % q = [x v] global drag; dq = zeros(2,1);   % a column vector dq(1) = q(2); % dx/dt = v dq(2) = -9.8 + drag*q(2)^2; end