2.704   ODE No. 704

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

\[ y'(x)=\frac {2 a x^3 y(x)^2+2 b x^5-y(x)+x y(x) \log (x)}{x (x \log (x)-1)} \] Mathematica : cpu = 9.0543 (sec), leaf count = 66

\[\left \{\left \{y(x)\to \frac {\sqrt {b} x \tan \left (\sqrt {a} \sqrt {b} \int _1^x\frac {2 K[1]^3}{K[1] \log (K[1])-1}dK[1]+\sqrt {a} \sqrt {b} c_1\right )}{\sqrt {a}}\right \}\right \}\] Maple : cpu = 0.072 (sec), leaf count = 38

\[\left \{y \left (x \right ) = \frac {\sqrt {a b}\, x \tan \left (2 \sqrt {a b}\, \left (c_{1}+\int \frac {x^{3}}{x \ln \left (x \right )-1}d x \right )\right )}{a}\right \}\]