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Re: treatment on C[i]
*To*: mathgroup at smc.vnet.net
*Subject*: [mg100314] Re: [mg100294] treatment on C[i]
*From*: Bob Hanlon <hanlonr at cox.net>
*Date*: Mon, 1 Jun 2009 07:05:01 -0400 (EDT)
*Reply-to*: hanlonr at cox.net
soln1 = y[x] /. DSolve[y''[x] == 4 y[x], y[x], x][[1]]
C[1]*E^(2*x) + C[2]/E^(2*x)
You can specify any parameter that you want
soln2 = y[x] /.
DSolve[y''[x] == 4 y[x], y[x], x, GeneratedParameters -> a][[1]]
a[1]*E^(2*x) + a[2]/E^(2*x)
Or you can use replacement
soln3 = soln1 /. C[n_] :> Symbol["a" <> ToString[n]]
a1*E^(2*x) + a2/E^(2*x)
Bob Hanlon
---- olfa <olfa.mraihi at yahoo.fr> wrote:
=============
Hi mathematica community,
C[i] is the default form for the i th parameter or constant generated
by mathematica in representing the results of various symbolic
computations in such functions as DSolve, RSolve and Reduce.
My question is: is it possible to know in advance how many C[i] will
be generated?
If not how to represent the generic form of them: For example I have
an input with reduce and mathematica generates in the output C[1],C
[2],C[3] and C[4] so four C[i] in the solutions but before that when I
wrote the input I did not know that it will generate four C[i] and I
need to use something in the input that represent C[i] in general
without knowing how many of them will be generated? I have tried to
use the pattern object _ like that C[ _ ] but it does not work.
Any suggestion?
Thank you very much.
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