Hello,
The way the ode45 command works (as I'm sure you know) is that given a state vector, in your case w, you provide a function that evaluates the derivative of w and returns dw.
A common example is with position and velocity:
state_vec = [position; velocity];
where as your 'equation_' would return:
dstate_vec = [velocity; acceleration];
it seems like you understand this; however, you are giving it an initial condition of .5, so:
w = .5;
then you are returning a dw that is a vector (because v is a vector and is apart of the computation).
So ode45 is trying to update a constant .5 with a vector dw, this is where you are encountering your error. You can fix this by either changing your dw to a scalar result, or making your initial condition an equally long vector corresponding to the length of the returned dw.
Hope this helps!
