2.986   ODE No. 986

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

\[ y'(x)=\frac {3 x^2 y(x) \log ^2(x)+x^2-x^3 \log ^3(x)+y(x)^3+x y(x)-3 x y(x)^2 \log (x)}{x^2} \] Mathematica : cpu = 0.116257 (sec), leaf count = 44

\[\left \{\left \{y(x)\to x \log (x)-\frac {x}{\sqrt {-2 x+c_1}}\right \},\left \{y(x)\to x \log (x)+\frac {x}{\sqrt {-2 x+c_1}}\right \}\right \}\] Maple : cpu = 0.062 (sec), leaf count = 36

\[ \left \{ y \left ( x \right ) =-{x{\frac {1}{\sqrt {{\it \_C1}-2\,x}}}}+x\ln \left ( x \right ) ,y \left ( x \right ) ={x{\frac {1}{\sqrt {{\it \_C1}-2\,x}}}}+x\ln \left ( x \right ) \right \} \]