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SECOND ORDER DIFFERENTIAL EQN

%ode_func

function[dtheta_dt]=ode_func(t,theta,b,g,l,m)

theta1=theta(1)
theta2=theta(2)
dtheta1_dt=theta2;
dtheta_dt=-(b/m)*theta2-(g/l)*sin(theta1);
dtheta_dt=[dtheta1_dt;dtheta2_dt];

end 


%Program for second order differential eqn

close all
clear all
clc

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

%Initial condition 

theta_0=[0;3];

%Time points

t_span=linspace(0,20,500);

%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\')

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