Re: second order autonomous ODE

Yes, I realized this later - this is an important point - thanks a lot.
I still hope that I can get the solution by my second attempt - see
above. It gives me the same result as if I multiplied the whole eqn by
y' and integrated. The obtained ODE is:
y'(x) = +/-sqrt( d1*ln(c1+c2*y) + d2*y + d3*y^2 + K )
with d1,d2,d3 constants and K is the integration constant. In my case,
the Taylor expansion of the logarithm then reduces the eqn to:
y'(x) = +/-sqrt( p*y^2 + q*y - r )
with p,q,r constants (r contains K). This is easily solvable. I guess
nothing is wrong so far. Also, since in my case p<0 and the solution
contains terms like sqrt(p), I should probably expect complex
integration constants.
Thanks.

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