Re: Output of TraditionalForm for Exp
- To: mathgroup at smc.vnet.net
- Subject: [mg103297] Re: [mg103290] Output of TraditionalForm for Exp
- From: Bob Hanlon <hanlonr at cox.net>
- Date: Mon, 14 Sep 2009 07:10:16 -0400 (EDT)
- Reply-to: hanlonr at cox.net
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