How to solve a system of differential equations using ODE45 with a different end conditions?

I have a system of differential equations which can be written down as-

The associated initial conditions are- at , . The exact span of x is not given, instead it is asked to stop iterating once . Since I don't know exactly where the end-point is reached, I cannot predict any end-point in terms of x.

I intend to solve this differential equation using ODE45 method. Now ODE45 requires a precise x_span to solve which is not known to me right now. How can I solve this process. Also, since this is looking very similar to a boundary value problem, can it be approached using bvp solvers?

Answer 1

[Alan Stevens]

Look up ODE Event Location in the Matlab documentation.

[Sayan Batabyal]

Thanks. I am looking up on the topic.