How to solve simultaneous Ordinary Differential Equation

Hi all. Can anyone help me to generate code to solve this problem. this is simultaneous first order ODE with codes . Assumptions can be made wherever necessary Thanks

Answer 1

[Torsten]

k1 = ...;                                                     % set constant k1
k2 = ...;                                                     % set constant k2
k3 = ...;                                                     % set constant k3
f = @(t,y)[9-k1*y(2)^2*y(1)+k2*y(1)^2 ; k3*y(2)^2+y(1)*y(2)]; % define differential equations
tspan = [0 20];                                               % set interval of integration
u0 = ...;                                                     % set initial condition for u
omega0 = ...;                                                 % set initial condition for Omega
y0 = [u0 ; omega0];                                           % set vector of initial values
[T Y] = ode45(f,tspan,y0);                                    % call integrator
plot(t,y(:,1),'-o',t,y(:,2),'-o')                             % plot results

Best wishes

Torsten.