2.895   ODE No. 895

\[ y'(x)=\frac {x \left (a^3 x^{12}+24 a^2 x^8 y(x)-32 a^2 x^6+192 a x^4 y(x)^2-256 a x^2 y(x)-256 a x^2+512 y(x)^3\right )}{64 a x^4+512 y(x)+512} \] Mathematica : cpu = 0.227092 (sec), leaf count = 81


\[\left \{\left \{y(x)\to \frac {1}{8} \left (-a x^4-8\right )+\frac {1}{512 \left (\frac {1}{512}-\frac {1}{\sqrt {-262144 x^2+c_1}}\right )}\right \},\left \{y(x)\to \frac {1}{8} \left (-a x^4-8\right )+\frac {1}{512 \left (\frac {1}{512}+\frac {1}{\sqrt {-262144 x^2+c_1}}\right )}\right \}\right \}\] Maple : cpu = 0.054 (sec), leaf count = 79


\[y \relax (x ) = \frac {8+\left (-\sqrt {-x^{2}+c_{1}}+1\right ) a \,x^{4}}{-8+8 \sqrt {-x^{2}+c_{1}}}\]