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 = 0.13045 (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 = 0.048 (sec), leaf count = 36

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