MHB Write Ode as a System: Solving for $\theta$

[Dustinsfl]

Can this be written as a system since it only has theta?
$$
U' = -\frac{mgb}{\sin^2\theta} - \frac{Mgb\cos\theta}{\sin^2\theta} = \frac{gb}{\sin^2\theta}(m - M\cos\theta).
$$

 

[Dustinsfl]

Re: write ode has a system

Can this be written as a system since it only has theta?
$$
U' = -\frac{mgb}{\sin^2\theta} - \frac{Mgb\cos\theta}{\sin^2\theta} = \frac{gb}{\sin^2\theta}(m - M\cos\theta).
$$

I am trying to find the fixed points of this system. That is why I wanted to transform it. Can they be found in its current state?