2.1835   ODE No. 1835

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ 32 y''(x) \left (x y''(x)-y'(x)\right )^3+\left (2 y(x) y''(x)-y'(x)^2\right )^3=0 \] Mathematica : cpu = 0.114604 (sec), leaf count = 135

\[\left \{\left \{y(x)\to \frac {1}{4} \left (\left (-\frac {8 c_1^3}{\sqrt [3]{3 \sqrt {3} \sqrt {c_1^9 c_2^9 \left (27 c_1 c_2-64\right )}-27 c_1^5 c_2^5}}+\frac {c_1^2}{c_2}-\frac {2 \sqrt [3]{\sqrt {3} \sqrt {c_1^9 c_2^9 \left (27 c_1 c_2-64\right )}-9 c_1^5 c_2^5}}{3^{2/3} c_2^3}\right ) x^2+4 c_1 x+4 c_2\right )\right \}\right \}\]

Maple : cpu = 0. (sec), leaf count = 0 , exception

time expired