How do you define boundary conditions for ode45 or bvp4c?

I am trying to set boundary conditions such as: y1(x=0) = 0 and y2(x=1) = 1 for coupled differential equations. I have seen examples and read up on how I should use bvp4c for this, however the examples given for how to define the BCs do not make sense. Could anyone clarify or show me how this is done? Thank you!

Answer 1

[darova]

In function res:

% ya(1) - y at a
% ya(2) - dy/dt at a
% yb(1) - y at b
% yb(2) - dy/dt at b

a and b you define in main script of course

[Jeffrey]

Thanks for some clarification. However, how would I do it when I have two, coupled differential equations, not just a single y function?

[Torsten]

In your case:

res = [ya(1) ; yb(2)-1.0];