hey all,

How can I find remaining equilibrium solutions to ? The only solution I can find is 0.

I see that it also touches the t-axis at approx -1.8 and 1.8, I guess I will just have to rely on the approximated values.

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- Mar 19th 2011, 09:12 PMOilerEquilibrium solutions to a D.E
hey all,

How can I find remaining equilibrium solutions to ? The only solution I can find is 0.

I see that it also touches the t-axis at approx -1.8 and 1.8, I guess I will just have to rely on the approximated values. - Mar 19th 2011, 09:20 PMmr fantastic
Are the x's meant to be y's ....? Are there boundary conditions? Note that by inspection sin(y) = y/2 for y = 0 but the other solutions cannot be found in closed form using algebra: solve Sin[x] = x/2 - Wolfram|Alpha

- Mar 19th 2011, 09:20 PMtopsquark
There are actually three equilibrium points. x = 0 and x = +/- 1.562161 for y = const. See here.

-Dan

Aww! Beaten out by Elastic Man!