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Re: Re: Output of TraditionalForm for Exp

  • To: mathgroup at smc.vnet.net
  • Subject: [mg103315] Re: [mg103310] Re: [mg103290] Output of TraditionalForm for Exp
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Tue, 15 Sep 2009 04:24:22 -0400 (EDT)
  • Reply-to: hanlonr at cox.net

Alternatively, I get the expected form when I use Simplify on the output of DSolve


Bob Hanlon

---- fizzy <fizzycist at knology.net> wrote: 

=============
oops...I goofed...I meant 1/a^2 D[T[t],{t,2}]  with the rest the same....

I tried it again with a fresh kernel and, for TraditionalForm,  I still get the same form of output of Exp and e^.......however, when I  asked for the form of the output in StandardForm then I get the form  e^ for the outputs....

jerry blimbaum
  ----- Original Message -----
  From: Bob Hanlon
  To: fizzy ; mathgroup at smc.vnet.net
  Sent: Sunday, September 13, 2009 8:14 AM
  Subject: Re: [mg103290] Output of TraditionalForm for Exp



  I get a different (simpler) result.

  $Version

  7.0 for Mac OS X x86 (64-bit) (February 19, 2009)

  eqn = 1/a^2 D[T[t], t] + b D[T[t], t] + c^2 T[t] == 0;

  soln = T[t] /. DSolve[eqn, T[t], t][[1]]

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

  eqn /. NestList[D[#, t] &, T[t] -> soln, 1] // Simplify

  True

  Recommend that you start with a clean kernel.


  Bob Hanlon

  ---- fizzy <fizzycist at knology.net> 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



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