Hi. I am working on the power series methods and I have implemented it for 
first order differential equations. The Pull Request can be seen here, 
https://github.com/sympy/sympy/pull/2395 . Right now, if you specify the 
number of terms as an argument to dsolve, it expands the solutions to the 
given number of terms.

The only problem that I think we would face as adding it as a hint to the 
existing hints, is that it doesn't give the exact solution but just the 
approximation. This might give problems when I use checkodesol, and other 
functions in SymPy like pdsolve which use dsolve.

Any suggestions?

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