Straigthforward differential equation ?

Hello everyone !

I'd like to solve this differential equation :

dP/dx=a1*(P^(3*beta))+a2*(P^(2*beta))+a3*(P^beta)+a4

with beta a constant.

a1, a2, a3 and a4 are row vectors (here 1x11) with zero-dependance on x.

I have already thought to use the different odefun solvers (ode45, ode23...), but I haven't managed to implement the problem.

Could you help me please ?

Thanks a lot !

That is not a straight-forward differential equation. It does not have an analytical solution even for beta=1.