2.1661   ODE No. 1661

\[ 8 y''(x)+9 y'(x)^4=0 \] Mathematica : cpu = 0.0775424 (sec), leaf count = 92


\[\left \{\left \{y(x)\to c_2-\frac {1}{3} \sqrt [3]{-\frac {1}{3}} (9 x-8 c_1){}^{2/3}\right \},\left \{y(x)\to \frac {(9 x-8 c_1){}^{2/3}}{3 \sqrt [3]{3}}+c_2\right \},\left \{y(x)\to \frac {(-1)^{2/3} (9 x-8 c_1){}^{2/3}}{3 \sqrt [3]{3}}+c_2\right \}\right \}\] Maple : cpu = 0.979 (sec), leaf count = 51


\[y \relax (x ) = \left (x +c_{1}\right )^{\frac {2}{3}}+c_{2}\]