x''+0.05x'+x^3=8*cos(t) solve with ode45 in matlab

main.m
% Define the function representing the differential equation
fun = @(t,x) [x(2); 8*cos(t) - 0.05*x(2) - x(1)^3];

% Define the time span
tspan = [0 20];

% Define initial conditions
x0 = [0; 0];

% Solve the differential equation using ode45
[t,y] = ode45(fun, tspan, x0);

% Extract the solution
x1 = y(:,1);

% Plot the solution
plot(t, x1);
xlabel('Time t');
ylabel('Solution x');
title('Solution of x'''' + 0.05x'' + x^3 = 8*cos(t)');
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In this code snippet, we first define the function representing the differential equation x'' + 0.05x' + x^3 = 8*cos(t). Then we specify the time span, initial conditions, and finally solve the differential equation using ode45. The solution is then extracted and plotted against time.

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