Non-linear ODE

• To: mathgroup at smc.vnet.net
• Subject: [mg15094] Non-linear ODE
• From: engp7696 at leonis.nus.edu.sg
• Date: Sat, 12 Dec 1998 03:58:58 -0500
• Organization: National University of Singapore
• Sender: owner-wri-mathgroup at wolfram.com

```Dear Sirs,

I have a problem with a highly non-linear ODE of order 1. It is of the
form

A - (B/r(z))(1 + beta)(1 + beta + beta^2)^n == 0;

where beta = z r'(z)/r(z).

Whenever I solve this ODE I get some imaginary solution. For cases where
n is not an integer say n=0.9,  I am not  able to get any solution at
all (the programme runs indefinetely) although I have been able to
solve the problem separately through finite-difference methods with my
own code.

Is there any method where I can instruct Mathematica to give me only the
real the real solution of this ODE.

I will be grateful to have any help on this matter.

Thanks
Vivek Pai

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VIVEK PAI
UNIVERSITY					RESIDENCE
Room : E5-03-29					#04-119, Block 224 Chemical Engineering		 		Street
21, Bukit Batok National University of Singapore		Singapore 650224
Singapore 119260				Phone : 8971197
Phone 	: 8742254
email : engp7696 at .nus.edu.sg
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```

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