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Question: Thorny ODE

Question:Thorny ODE

JacquesC 2396 Maple
September 08 2008
0

Someone asked me with some help with an ODE, and I was able to reduce the problem to the following rather pretty sub-problem:

(a-1)*(a+1)*diff(y(a),a)^6-8*a^2*diff(y(a),a,a,a)*diff(y(a),a)+20*a^2*diff(y(a),a,a)^2

Of course, since this ODE is missing a term in y(x), one can immediately reduce it further by one integration, but I find the resulting ODE less aesthetically pleasing.  However, I can't seem to get much out of this ODE.  Anyone have a clever idea?
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