Finding branches where general solution is possible
- To: mathgroup at smc.vnet.net
- Subject: [mg131843] Finding branches where general solution is possible
- From: Narasimham <mathma18 at gmail.com>
- Date: Wed, 16 Oct 2013 05:00:36 -0400 (EDT)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
- Delivered-to: l-mathgroup@wolfram.com
- Delivered-to: mathgroup-outx@smc.vnet.net
- Delivered-to: mathgroup-newsendx@smc.vnet.net
For following function with period 2 Pi in which branches is it possible to get a general solution?
Regards
Narasimham
DSolve[{si''[th] Tan[si[th]]==(1+si'[th]) (1+2si'[th]),si[0]==Pi/4 },si,th]
NDSolve[{si''[th] Tan[si[th]]==(1+si'[th]) (1+2si'[th]),si'[0]==0,si[0]==Pi/4},si,{th,0,6Pi}];
SI[u_]=si[u]/.First[%];Plot[SI[th],{th,0,6Pi}]
DSolve::bvnul: For some branches of the general solution, the given boundary conditions lead to an empty solution.>>