From: &noreply@axelvogt.de   
      
   On 06.01.2016 12:45, Nasser M. Abbasi wrote:   
   > On 1/6/2016 3:20 AM, Axel Vogt wrote:   
   >> On 06.01.2016 08:22, Nasser M. Abbasi wrote:   
   >>> If one has a separable ode, first order, such as this:   
   >>>   
   >>> eq:= diff(y(x),x) = (a4*x^4+a3*x^3+a2*x^2+a1*x+a0)^(-1/2);   
   >>>   
   >>> Maple gives the answer with simply integrating the RHS, but   
   >>> leaves the integral unevaluated.  Would you consider this as solved   
   >>> or not?  Here is Maple solution to the above ode   
   >>>   
   >>>     result:= y(x) = Int(1/sqrt(a4*x^4+a3*x^3+a2*x^2+a1*x+a0), x)+_C1   
   >>>   
   >> ...   
   >>> Mathematica gives this   
   >> ...   
   >>> ..... too long to show....   
   >>   
   >   
   >> Maple gives UperCase Int, which is the inert = unevaluated   
   >> form. You have to use the 'value' command to get more and   
   >> length is ~ 5000 characters ~ 1 page   
   >>   
   ...   
   >   
   > But I also did not know Maple can return result from commands   
   > as Inert. I am not sure what is the point of doing this, since   
   > the user wants to see the actual result.   
   >   
   > This is a little confusing actually. I am running this   
   > in script and need to capture the "final" result of dsolve.   
   >   
   > So how is one supposed to know if they need to issue   
   > "value()" command or not on the result? Is there a way to   
   > tell Maple to return the final result and not use Inert?   
   >   
   > I am using Maple 2015.   
   ...   
      
   I prefer the inert form, as it gives information about the   
   structure. There may be situations where you even have a   
   double integral. Or some implicit solution (?).   
      
   It is easy to get it (if it works): use value(%) or use   
   eval(%, Int = int).   
      
   Note however: if "value" does not succeed then any further   
   usage of the result again will try to 'compute' the integral   
      
      
   PS: there is already some study on the web for Maple+Kamke,   
   it solves 98% or so, done by Edgardo Cheb-Terrab (=Maple),   
   comparing it to MMA (some less %). Have no concurrent link.   
      
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