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 Jul29 comment Examples of coupled 2nd time independent ODEs Thanks Evgeny, this system is definitely something to look into. Jul27 comment Examples of coupled 2nd time independent ODEs @MichaelBrown Indeed google is friendly, and I went to mathworld.wolfram.com/topics/OrdinaryDifferentialEquations.html to find some ODEs, but nothing really jumped out at me. And to avoid clicking on a 100 or so links for individual differential equations (since most of the examples they provide are not for coupled systems) I came to stack exchange. Jul27 comment Examples of coupled 2nd time independent ODEs @Amzoti, Unfortunately no, I myself was thinking about a coupled spring-mass type systems, but then I realized that I needed to stay away from evolution type ODEs. Thanks. Jul27 asked Examples of coupled 2nd time independent ODEs Jan16 answered Behavior of differential equation as argument goes to zero Jan12 awarded Supporter Jan12 comment Behavior of differential equation as argument goes to zero Thanks a bunch. I have been doing my computations in Mathematica and I will try reproduce your result. I really wish you had got $z_2 \propto x^3$ since that this what they are saying in this paper: arxiv.org/pdf/gr-qc/0210102.pdf They mention this behavior in appendix A below equation A4, and the equation I wrote above is equation 20. I've made some obvious replacements in the variables. Thanks again. Jan12 comment Behavior of differential equation as argument goes to zero @Pavel, Thanks for pointing out the error. I have fixed the equations. I do know that y2 = x^3, there should not be any other terms. Jan12 revised Behavior of differential equation as argument goes to zero fixed typos in equations pointed out my Pavel. Jan11 asked Behavior of differential equation as argument goes to zero Sep3 awarded Commentator Sep3 comment Help Understanding Spectral Method for solving Differential Equations Quick question; How did get the expansion of (y+1)^2? Trial and error, software? Sep3 comment Help Understanding Spectral Method for solving Differential Equations Thanks,this works out pretty nicely. I was worried about taking this approach b/c I did not seeing it working out this well. I will try and let you know what happens. Sep2 awarded Student Sep1 asked Help Understanding Spectral Method for solving Differential Equations Aug21 comment Need help understanding shooting method @RobertIsrael, Thanks indeed. Sorry about the added confusion there, I just had to make sure before I implement this tomorrow. Thanks. Aug21 comment Need help understanding shooting method @J.M., no I have never actually heard of Brent's Method. I'll be sure to look it up. Thanks for the info. Aug21 comment Need help understanding shooting method @J.M. What exactly is bracketing? I don't think I've come across that in my readings. A link would suffice, thanks. Aug21 comment Need help understanding shooting method @Robert, Thanks. Ok, that does make sense. Not to be rude, but how sure are you,since you are saying it "could be the difference". Aug21 comment Need help understanding shooting method Thanks Robert, this cools pretty interesting, I'm still trying to figure out how to implement this with my system, since I've never thought of, or since this method before.