ode solver with unknows coefficients

Hello!

I wonder if I have two coupled differential equations( ex. first orders) with two unknows coeffcients, which ode solver shouls I use for

this?

I have tried using ode45, but I dont have initial values for this, so I wonder if there is an ode solver that could guess or implement that function?

Thanks, Hope for an answer!

Answer 1

[Walter Roberson]

In some situations, this can be coded as a Boundary Value Problem https://www.mathworks.com/help/matlab/boundary-value-problems.html?s_tid=CRUX_lftnav in which you are trying to find coefficient values that match some known behaviour.

But in the more general case, you cannot use numeric methods because you are modeling a class of problems, and you have to hope that the Symbolic Toolbox dsolve() can figure out a useful solution for you.

[Serhat Unal]

thanks for the answer.

I forgot to mention that it was a brusselator problem and

I want to make a 2d plot of these two coupled first order odes, but still does not

have any initial values or boundary conditions, but is there a way to still use any ode solver

and how would the code look like in this case.