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Re: Beginner--How to get a positive solution from Solve Command

  • To: mathgroup at smc.vnet.net
  • Subject: [mg67795] Re: Beginner--How to get a positive solution from Solve Command
  • From: "Valeri Astanoff" <astanoff at yahoo.fr>
  • Date: Sat, 8 Jul 2006 04:55:52 -0400 (EDT)
  • References: <e8lgq7$ras$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hello Abdou,

You better use FindRoot (with c evaluated)
because Series+Solve does not give you the correct solution.

Example with c=1/2 :

In[1]:=FindRoot[1 -c ArcTanh[\[Xi]]/\[Xi]/.c -> 1/2,{\[Xi],0.5}]

Out[1]={\[Xi] -> 0.957504}


In[2]:=Solve[Normal[Series[1-c
ArcTanh[\[Xi]]/\[Xi],{\[Xi],0,2}]]==0/.c->1/2,\[Xi]]

Out[2]={{\[Xi] -> -Sqrt[3]}, {\[Xi] -> Sqrt[3]}}



V.Astanoff


PS : nous pouvons peut-être correspondre en français


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