2.132   ODE No. 132

\[ 3 x y'(x)-y(x)-3 x y(x)^4 \log (x)=0 \] Mathematica : cpu = 0.0898331 (sec), leaf count = 115


\[\left \{\left \{y(x)\to \frac {(-2)^{2/3} \sqrt [3]{x}}{\sqrt [3]{3 x^2-6 x^2 \log (x)+4 c_1}}\right \},\left \{y(x)\to \frac {2^{2/3} \sqrt [3]{x}}{\sqrt [3]{3 x^2-6 x^2 \log (x)+4 c_1}}\right \},\left \{y(x)\to -\frac {\sqrt [3]{-1} 2^{2/3} \sqrt [3]{x}}{\sqrt [3]{3 x^2-6 x^2 \log (x)+4 c_1}}\right \}\right \}\] Maple : cpu = 0.042 (sec), leaf count = 153


\[y \relax (x ) = \frac {\left (-4 x \left (6 x^{2} \ln \relax (x )-3 x^{2}-4 c_{1}\right )^{2}\right )^{\frac {1}{3}}}{6 x^{2} \ln \relax (x )-3 x^{2}-4 c_{1}}\]