Solving System of ODEs using MATLAB

Hi,

I am trying to solve a system of two ODEs shown as follow:

However, there is no symbolic solution to this system.

May I know how should I proceed to solve the system and plot the graph X vs W?

Hoping for useful solutions. Thanks in advance.

Answer 1

[Sam Chak]

Hi Teo, Do something like this:

odefcn = @(t, y) [y(2);... 
  0.1*sin(t) - 10*y(1) - 2*sqrt(10)*y(2)]; 

tspan = (0:0.01:20)'; 
ic = [1 0];
[t, y] = ode45(odefcn, tspan, ic);
plot(t, y(:, 1), 'linewidth', 1.5);
grid on; 
xlabel('t'); 
ylabel('y(t)')