I have a problem I was hoping to get help with. I have an ODE (shown below) and I need to find theta (Represented with O) for 3 beta (B) cases. All information is shown below.
Where: B = 0,0.3, and 0.9
v = 1*10^-4
l = 1
u = 1
Boundary condition is O = 0 at x = 0
I was trying to use ODE45 but I couldn't figure out how to manipulate the function to deal with both U and O. Essentially I have to make a macro that can find O when given the appropriate B value. Any guidance into how I would go about working with this ode would be much appreciated! Thank you!