Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I'm analyzing a system of differential equations, and in one special case I just have

$$\frac{\mathrm dy}{\mathrm dt} = \arcsin(x)$$

Where $x$ is a whole mess of terms, that should be possible to collate into one term. I'm not sure how to analyze this.

I've tried some stuff so far, but I'm wondering if there's anything more to see here than the trivial result, $(0,0)$, when doing a stability analysis

share|cite|improve this question
That whole mess of terms - do they involve only $t$ and constants? or do they also involve $y$? or what? – Gerry Myerson Aug 17 '11 at 6:23
they don't involve $y$. the mess of terms is $$\frac{\omega_1 - \omega_2}{k_1 + k_2}$$ which is a difference in frequencies over a sum of coupling coefficients. – rapidash Aug 17 '11 at 6:32
And there's no $t$ in there, right? – J. M. Aug 17 '11 at 6:52
up vote 2 down vote accepted

If that "whole mess of terms" does not depend on $t$ (as apparently it does not), then your equation is just $$ \frac{dy}{dt} = \text{constant}. $$

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.