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Re: Re: Output of TraditionalForm for Exp

  • To: mathgroup at smc.vnet.net
  • Subject: [mg103319] Re: [mg103306] Re: [mg103290] Output of TraditionalForm for Exp
  • From: DrMajorBob <btreat1 at austin.rr.com>
  • Date: Tue, 15 Sep 2009 04:25:06 -0400 (EDT)
  • References: <200909131202.IAA13022@smc.vnet.net>
  • Reply-to: drmajorbob at yahoo.com

Or...

T[t] /. First@
   DSolve[1/a^2 D[T[t], t] + b D[T[t], t] + c^2 T[t] == 0, T[t], t]

E^(-((a^2 c^2 t)/(1 + a^2 b))) C[1]

Bobby

On Mon, 14 Sep 2009 06:11:56 -0500, Murray Eisenberg  
<murray at math.umass.edu> wrote:

> I don't get that with Mathematica 7.0.1:
>
>    InputForm[ T[t] /. First @
>       DSolve[1/a^2 D[T[t], t] + b D[T[t], t] + c^2 T[t] == 0, T[t], t]
>    ]
>
> C[1]/E^((a^2*c^2*t)/(1 + a^2*b))
>
> I have to show InputForm since the standard OutputForm, obviously, uses
> the usual 2D layout.  And TraditionalForm shows essentially the same
> thing (with the stylized e instead of E, and of course all letters in
> Italic).
>
>
> fizzy wrote:
>> Diff Eqn:    1/a^2 D[T[t],t] + b D[T[t],t] + c^2 T[t] == 0
>>
>> Solution to this gives the following in TraditionalForm =
>> output:....V7.01....
>>
>> C1 Exp[1/2 t  (a^2 (-b) - a Sqrt[a^2 b^2 -4 c^2])] + C2  e^(1/2 t   
>> (Sqrt[a^2 b^2 -4 c^2] - a^2 b)]) .....
>>
>> where the second part, i.e. e^( )...the exponent part, ( ) , is  
>> actuallly on the same line as the ^ as it would be if I used the power  
>> exponent from the Basic Math pallette.....
>>
>>
>> Q:....why this difference in output??....why arent both 'e' raised to  
>> the power of, etc??...
>>
>> I realize I can fix this with a rule and HoldForm but why doesnt  
>> TradForm use only one of the output forms especially in the same output?
>>
>> thanks....jerry blimbaum
>>
>


-- 
DrMajorBob at yahoo.com


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