# How to solve differential equation series solution

How can I solve differential equation series in general solution in sage? Also, how can I adjust the default center x0=0 to another value(for example, x0=2)?

Try :

then

This should go a long way towards solving your problem.

BTW, you should try the universal algorithm (a. k. a. RTFM)...

Googling

`sagemath documentation`

leads you there, where you'll find, among many other things, links to various tutorials.My advice is to search for:

solve_linear_de in https://doc.sagemath.org/html/en/refe...

1st_power_series

2nd_power_series_ordinary

2nd_power_series_regular in https://docs.sympy.org/latest/modules...

In Sympy if the initial data are given at x0=1, then the expansion is around 1

The default center x0=0 can be adjusted in https://fricas.github.io/book.pdf p.353.

In some cases the initial conditions may be symbolic, so general solutions can be obtained