There are many methods to solve differential equations. There are many kinds of equations, different orders, linear, non-linear, homogeneous, exact, the other kind of homogeneous etc.
I would like to know of any diagrams that organize equations in to families by the best suited solution method. Or maybe a genealogical diagram, or even a flow chart. Something that gives the "big picture" on all these methods and types of equations.
Is there any such digram?
If not how would you organize it?
(the goal is for the diagram to assist one in choosing a method for solving, while at the same time clarifying the similarities and difference between equations. Something like the diagram that shows the real, imaginary, natural and complex numbers, perhaps:
Of course it would be more complex... and it might fill a wall, but I'm OK with that.