#10682: sum fails with lower bound != 0 or 1 (upgrade maxima to 5.26)
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   Reporter:  fmaltey                                                           
               |          Owner:  burcin    
       Type:  defect                                                            
               |         Status:  needs_work
   Priority:  critical                                                          
               |      Milestone:  sage-5.0  
  Component:  symbolics                                                         
               |       Keywords:            
Work_issues:  several doctests need to be patched due to  changes in output 
format/term order  |       Upstream:  N/A       
   Reviewer:                                                                    
               |         Author:            
     Merged:                                                                    
               |   Dependencies:            
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Comment(by dimpase):

 Here is the patch I propose for {{{calculus/desolvers.py}}}:

 {{{
 68c68
 < def desolve(de, dvar, ics=None, ivar=None, show_method=False,
 contrib_ode=False, domain='complex'):
 ---
 > def desolve(de, dvar, ics=None, ivar=None, show_method=False,
 contrib_ode=False):
 113,115d112
 <     - ``domain`` - (optional) specifies the domain to use to solve the
 ODE.
 <       By default it is complex numbers; setting domain='real' will make
 it real numbers.
 <       It corresponds to Maxima's 'domain : complex;' or, respectively,
 'domain : real;'
 361,365d357
 <         sage: desolve(x*diff(y,x)-x*sqrt(y^2+x^2)-y == 0, y,
 contrib_ode=True, domain='real')
 <         [x - arcsinh(y(x)/x) == c]
 <
 <     Trac #10682 updated Maxima to 5.26, and it started to show a
 different solution in the complex domain for the ODE above::
 <
 367,368c359,360
 <         [1/2*(2*x^2*sqrt(x^(-2)) -
 2*x*sqrt(x^(-2))*arcsinh(y(x)/sqrt(x^2)) -
 2*x*sqrt(x^(-2))*arcsinh(y(x)^2/(sqrt(y(x)^2)*x)) +
 log(4*(2*x^2*sqrt((x^2*y(x)^2 + y(x)^4)/x^2)*sqrt(x^(-2)) + x^2 +
 2*y(x)^2)/x^2))/(x*sqrt(x^(-2))) == c]
 <
 ---
 >         [x - arcsinh(y(x)/x) == c]
 >
 428d419
 <     P("domain : "+domain)
 }}}

 It gives deslove() one more optional parameter {{{domain}}}, which takes
 care of this new discrepancy with this ODE.
 I'll update the whole patch shortly, test, and then expect the ticket to
 be ready for review.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10682#comment:21>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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