Give Output of one ODE to the another ODE simultaneously

I have the equations as follows

and

What I have to do is integrate and supply the output to sumlatenously at each time step as gets integrated and this must happen in a speciafic time inteval.

Is there a way to do in code?

Eg - If gets integrated from 0 to witha a constant θ and at time , the value of theta must be taken from intgrated . This must happen simultaneously.

Answer 1

[Steven Lord]

Use the "Nonstiff Euler Equations" example on this documentation page as a model for your ODE function.

[Karthi Ramachandran]

Thanks for the reply Steven. My problem is not which ODE to use. There is a kind of feedback from second equation to the first. Integrating separately is not a trouble but first is dependent on second so I have to do kind of simultaneous integration but the second must be integrated and the output should be given to the first at each time step

[Steven Lord]

You have a system of two differential equations. Solve them simultaneously just like that example solves three differential equations simultaneously.

[Alan Stevens]

Your theta equation is independent of x, so you could integrate this separately (in fact, it has an analytical solution), then use the result in the x integration routine.