solve an ode and plot it in matlab

To solve an ordinary differential equation (ODE) in MATLAB, you can use the built-in function ode45, which uses a numerical method to approximate the solution. Here's an example:

main.m
% define the ODE (example: y' = -y)
f = @(t,y) -y;

% set initial conditions and time span
y0 = 1;  % initial value of y
tspan = [0 10];  % time span for the solution

% solve the ODE using ode45
[t,y] = ode45(f, tspan, y0);

% plot the solution
plot(t, y);
xlabel('Time');
ylabel('Solution (y)');
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In this example, the ODE is y' = -y, which has the solution y(t) = exp(-t), with y(0) = 1. We define the ODE using an anonymous function f, and then use ode45 to solve it over the time span [0, 10] with initial value y0 = 1. Finally, we plot the solution using the plot function.

You can adapt this code for your specific ODE by defining your own function for f, and adjusting the initial conditions and time span as needed.