User abel - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-24T20:21:16Z http://mathoverflow.net/feeds/user/14688 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/91463/identifying-a-system-of-odes/91484#91484 Answer by abel for Identifying a system of ODEs abel 2012-03-17T18:43:04Z 2012-03-17T18:43:04Z <p>this is not an answer to your question. hassan aref studied the motion of point vortices. </p> http://mathoverflow.net/questions/40623/riccati-differential-equation-and-descent/63006#63006 Answer by abel for Riccati differential equation and descent abel 2011-04-26T06:14:02Z 2011-04-26T06:14:02Z <p>this is not an answer, i am not sure if i can add this as a comment to your question. so i typed it here.</p> <p>from treatise on differential equation by a. r. forsyth in section 109 it is shown that $y^\prime + a y^2 = b x^\alpha$ is integrable if $\alpha = -\frac{4k}{2k \pm 1}$ for $k$ a positive integer or zero. </p>