On Friday, July 24, 2015 at 3:18:16 AM UTC-7, Amritpal Singh wrote:
>
> Now, my question is that which thing I will do with my code such that
> Sage can print all the steps that they can internally do to solving a
> differential equation.
>

The functionality of desolve is, as documented, all provided by maxima. I 
am not aware of any verbosity options in maxima. There is a "show_method" 
option documented, which helps a little bit:

sage: desolve(de,dvar=x,ivar=t,show_method=true)
[_K2*cos(sqrt(k)*t/sqrt(m)) + _K1*sin(sqrt(k)*t/sqrt(m)), 'constcoeff']

which suggests that maxima recognized the equation as a linear ODE with 
constant coefficients. So it probably did the usual calculus thing that 
you're taught in a calculus course or a first ODE course.

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