


program for ODE
Inputs
b=0.05;
g=9.81;
l=1;
m=0.1;
% initial condition
theta_0 = [0,5];
% time points
t_span = linspace(0,10,500);
% solve ODE
[t, results] = ode45(@(t,theta) ode_func(t, theta, b,g,l,m),t_span, theta_0);
plot(t,results(:,1))
hold on
plot(t,results(:,2))
ylabel('plot')
xlabel('time')
program for function ode_fun
function [dtheta_dt] = ode_func(t, theta, b,g,l,m)
theta1 = theta(1)
theta2 = theta(2)
dtheta1_dt = theta2;
dtheta2_dt = -(b/m)*theta2 - (g/l)*sin(theta1);
dtheta_dt = [dtheta1_dt; dtheta2_dt];
end
for the animating the program pendulam
i tried my level best but i can't complete
this the program i create
clear all
close all
clc
ct=1;
for b=0.05;
g=9.81;
l=1;
m=0.1;
% initial condition
theta_0 = [0,5];
% time points
t_span = linspace(0,10,500);
% solve ODE
[t, results] = ode45(@(t,theta) ode_func(t, theta, b,g,l,m),t_span, theta_0);
%plotting
figure(ct)
plot(t,results(:,1))
hold on
plot(t,results(:,2))
pause(0.03)
M(ct) = getframe(gcf);
ct = ct+1;
end
movie(M)
videofile = VideoWriter('ode.avi','Uncompressed AVI');
open(videofile)
writeVideo(videofile,M)
close(videofile)