2.538   ODE No. 538

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

\[ 2 \left (x y'(x)+y(x)\right )^3-y(x) y'(x)=0 \] Mathematica : cpu = 9.98446 (sec), leaf count = 113

\[\left \{\left \{y(x)\to \frac {\int _1^x\frac {\text {InverseFunction}\left [-\frac {2 \sqrt {\text {$\#$1}^2-8 \text {$\#$1}^3} \tan ^{-1}\left (\sqrt {8 \text {$\#$1}-1}\right )}{\text {$\#$1} \sqrt {8 \text {$\#$1}-1}}+\log (8 \text {$\#$1}-1)+\log \left (1+\frac {1}{8 \text {$\#$1}-1}\right )+\frac {3 \sqrt {\text {$\#$1}^2-8 \text {$\#$1}^3}}{\text {$\#$1}}\& \right ][c_1+2 \log (K[1])]}{K[1]}dK[1]}{x}\right \}\right \}\] Maple : cpu = 1.191 (sec), leaf count = 1625

\[\text {Expression too large to display}\]