error in line 15 at initial conditions please help
3 views (last 30 days)
Show older comments
function dydt = pendulum_system(t, y)
g = 9.81; % Acceleration due to gravity
L = 1.0; % Length of the pendulum
theta = y(1);
omega = y(2);
dtheta_dt = omega;
domega_dt = -omega - (g/L) * sin(theta) + cos(0.2*t);
dydt = [dtheta_dt; domega_dt];
end
% Initial conditions
initial_conditions = [pi/4; 0];
% Solve the ODE system
[t, Y] = ode45(@pendulum_system, [0 200], initial_conditions);
% Plotting
figure;
plot(t, Y(:, 1));
xlabel('Time (s)');
ylabel('Theta (radians)');
title('Solution of Pendulum ODE for Theta');
grid on;
0 Comments
Answers (1)
Sulaymon Eshkabilov
on 4 Jan 2024
This is how the code should be put together and executed:
% Initial conditions
initial_conditions = [pi/4; 0];
% Solve the ODE system
[t, Y] = ode45(@pendulum_system, [0 200], initial_conditions);
% Plotting
figure;
plot(t, Y(:, 1));
xlabel('Time (s)');
ylabel('Theta (radians)');
title('Solution of Pendulum ODE for Theta');
grid on;
%% pendulum_system is a nested function:
function dydt = pendulum_system(t, y)
g = 9.81; % Acceleration due to gravity
L = 1.0; % Length of the pendulum
theta = y(1);
omega = y(2);
dtheta_dt = omega;
domega_dt = -omega - (g/L) * sin(theta) + cos(0.2*t);
dydt = [dtheta_dt; domega_dt];
end
0 Comments
See Also
Categories
Find more on Ordinary Differential Equations in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!