Re: Is there a way to rewrite Roots[#n] result in easier to read
- To: mathgroup at smc.vnet.net
- Subject: [mg80337] Re: Is there a way to rewrite Roots[#n] result in easier to read
- From: Jepessen <danwolf80_ at _libero_._it>
- Date: Sat, 18 Aug 2007 05:31:10 -0400 (EDT)
- References: <fa3dlf$k1$1@smc.vnet.net>
Il Fri, 17 Aug 2007 06:02:23 +0000, Nasser Abbasi ha scritto: > Hello; > This is Mathematica 6.01 > > Is there a way to make the output of the following DSolve more readable? It > contains lots of Root[] with #n in it. > > > Remove["Global`*"] > ode11 = Derivative[1][y][x] - > 1/Sqrt[Subscript[a, 4]*x^4 + Subscript[a, 3]*x^3 + > Subscript[a, 2]*x^2 + Subscript[a, 1]*x + Subscript[a, 0]] == > 0; > DSolve[ode11, y[x], x] > > here is a pic of the output: > > http://12000.org/tmp/081507/output.PNG > > I understand what #'s are for, but was wondering if the output can be > written using more 'traditional' form so it will easier to read? i.e having > the polynomial whose Roots are being called for, to be explicitly written > out or something along those lines?...I tried Simplify[]. > > thanks, > Nasser Believe me, the generic solution for a 4th equation is mooore long... Roots is the more efficient way to write a generic solution. Try Solve[a*x^4 + b*x^3 + c*x^2 + d*x + e == 0, x] And see the generic solution in explicit form. You can create particular cases, replacinx a_x with numbers, and seeing if solution is written in a more efficient way and, if it's remain with Roots, you can always have numerical results using N function. Daniele
