2.986   ODE No. 986

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

\[ y'(x)=\frac {-x^3 \log ^3(x)+3 x^2 y(x) \log ^2(x)+x^2+y(x)^3+x y(x)-3 x y(x)^2 \log (x)}{x^2} \] Mathematica : cpu = 0.0166328 (sec), leaf count = 41

\[\left \{\left \{y(x)\to x \left (\log (x)-\frac {1}{\sqrt {c_1-2 x}}\right )\right \},\left \{y(x)\to x \left (\frac {1}{\sqrt {c_1-2 x}}+\log (x)\right )\right \}\right \}\]

Maple : cpu = 0.028 (sec), leaf count = 36

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