2.1835   ODE No. 1835

\[ 32 y''(x) \left (x y''(x)-y'(x)\right )^3+\left (2 y(x) y''(x)-y'(x)^2\right )^3=0 \] Mathematica : cpu = 0.0734405 (sec), leaf count = 143


\[\left \{\left \{y(x)\to \frac {1}{4} \left (-\frac {8 c_1{}^3}{\sqrt [3]{3} \sqrt [3]{\sqrt {3} \sqrt {27 c_1{}^{10} c_2{}^{10}-64 c_1{}^9 c_2{}^9}-9 c_1{}^5 c_2{}^5}}+\frac {c_1{}^2}{c_2}-\frac {2 \sqrt [3]{\sqrt {3} \sqrt {27 c_1{}^{10} c_2{}^{10}-64 c_1{}^9 c_2{}^9}-9 c_1{}^5 c_2{}^5}}{3^{2/3} c_2{}^3}\right ) x^2+c_1 x+c_2\right \}\right \}\] Maple : cpu = 0. (sec), leaf count = 0


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