2.665   ODE No. 665

\[ y'(x)=-\frac {\sqrt {a} \left (-2 \sqrt {a x^4+8 y(x)}+\sqrt {a} x^4+\sqrt {a} x^3\right )}{2 (x+1)} \] Mathematica : cpu = 0.43991 (sec), leaf count = 41


\[\left \{\left \{y(x)\to \frac {1}{8} \left (-a x^4+16 a \log ^2(x+1)-32 a c_1 \log (x+1)+16 a c_1{}^2\right )\right \}\right \}\] Maple : cpu = 0.669 (sec), leaf count = 28


\[-\frac {\sqrt {a \,x^{4}+8 y \relax (x )}}{4 \sqrt {a}}+\ln \left (1+x \right )-c_{1} = 0\]