How to solve the following System of first order differential equations using ode45?please help

q1=[q11;  q21;  q13];
q10=[7.1892; 11.4189; 0.5826];
  t1  = pi:0.1:2*pi; 

   dq11dt1= -k1*(12.7734-q11)*cos(q31);
  dq21dt1=-k1*(12.7734-q11)*sin(q31);
   dq31dt1= -k2*(0.3097+(13.6167-q21)*sin(t1));

Answer 1

[Aquatris]

First you create your function that outputs derivative of q when time and q are given to it.

function qd = asd(t,q)
  k1 = 1.2;
  k2 = 1.3;
  k3 = 1.5;
  qd  = [-k1*(12.7734-q(1))*cos(q(3));
         -k1*(12.7734-q(1))*sin(q(3));
         -k2*(0.3097+(13.6167-q(2))*sin(t))];

end

Then in the main script, you call

q10=[7.1892; 11.4189; 0.5826]; 
t1 = pi:0.1:2*pi;
[t,q] = ode45(@asd,t1,q10);

You did not specify k1 k2 k3 so I randomly selected them.

[sangita kamat]

@Aquatris, thank you very much for your help. Shall do.its perfectly working . thanks once again