Week 3 - Solving second order ODEs

Aim :- To slove the 2nd order ODE equation

Theory :-

1.What is the velocity:- Velocity is the rate of change of displacement.

2.What is acceleration:-Acceleration is the rate of change of velocity.

3.What is simple pendulum :- A simple pendulum is a point mass suspended by a weightless and inextensible string fixed rigidly to support.

4.What is second order pendulum :- A simple pendulum whose time period is 2 seconds is known as a second’s pendulum.

Program codes :-

clear all
close all
clc

b=0.05;
g=9.81;
l=1;
m=1;


% initial condition
theta_0 = [0;5];

% time points
t_spam = linspace(0,10,500);

% solve ODE
[t_results] = ode45(@(t,theta) ode_func(t, theta, b,g,l,m),t_spam, theta_0);

plot(t,results(:,1))
ylabel('Plot')
xlabel('time')

Output velocity due acceleration:-