How to solve differential equation series solution
 
  
 
  
 
 
 
 
 
 
    
        
        asked 2 years ago  
 
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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)?
 
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Try :
desolve?
then
desolve_system?
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.
Emmanuel Charpentier gravatar imageEmmanuel Charpentier (
    
        2 years ago
    )
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
achrzesz gravatar imageachrzesz (
    
        2 years ago
    )
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