How to convert to hyperpolic function?
hello; this is mma 5.0
I am having hard time figuring how to tell mma to convert the
output to a form I want.
In Maple, I can use the 'convert' command, which is really nice, but
mma has no such command to convert an expression between different
forms. So other than using Simplify, FullSimplify, ExpToTrig, TrigToExp,
I have no idea what to do.
This is an example, the result of this I want to be expressed as
arcsinh(y/c), not in the way it is generated, (which is correct
but different form).
So I guess I am asking one general question: What is the mma command
that is eqivelant to maple 'convert'? and a specific question is how
to make the output of this example expressed in arcsinh instead of in
terms of ln?
 mma code 
In[4]:= sol = Integrate[1/Sqrt[c^2+y^2],y]
2 2
Out[4]= Log[y + Sqrt[c + y ]]
In[5]:= Simplify[sol,Elements[c,Reals]]
2 2
Out[5]= Log[y + Sqrt[c + y ]]
 maple code 
In maple, in this example I did not have to use the convert
command, but in other examples I used it.
assume(c,real);
/ 1 \1/2
sol := arcsinh( y)
 2 
\ c /
Now I can if needed convert the above to ln using convert:
