Mathematica cannot solve this system of ODEs, even after the decoupling suggested by user LeechLattice, even with $\alpha=\beta=0$ and $A=1$. This means that the existence of an explicit solution is highly unlikely.
Here is the image of the corresponding Mathematica notebook:
Mathematica cannot solve this system of ODEs, even after the decoupling suggested by user LeechLattice. This means that the existence of an explicit solution is unlikely.
Here is the image of the corresponding Mathematica notebook:
Mathematica cannot solve this system of ODEs, even after the decoupling suggested by user LeechLattice, even with $\alpha=\beta=0$ and $A=1$. This means that the existence of an explicit solution is highly unlikely.
Here is the image of the corresponding Mathematica notebook:
Mathematica cannot solve this system of ODEs, even after the decoupling suggested by user LeechLattice. This means that the existence of an explicit solution is unlikely.
Here is the image of the corresponding Mathematica notebook:
