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Oct 23, 2014 at 18:00 comment added Venkat K V Thanks for the reply, but the numerical values of $alphax, alphay$ etc are just as an example. I need to be able to solve the equations for a much larger range of values, in which case $lambda$ is not equal to $1$. However, the second part of your reply on how to numerically obtain $lambda(theta)$ is very useful.
Oct 23, 2014 at 10:10 comment added xzczd I think you may be interested in this site :)
Oct 23, 2014 at 10:05 history edited xzczd CC BY-SA 3.0
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Oct 23, 2014 at 8:15 history answered Alexei Boulbitch CC BY-SA 3.0