2.940   ODE No. 940

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

\[ y'(x)=\frac {x^3 \log ^3(x)-3 x^2 y(x) \log ^2(x)-x^2+x^2 \log (x)-y(x)^3-y(x)^2-2 x y(x)+3 x y(x)^2 \log (x)+x y(x) \log (x)}{x (-y(x)-x+x \log (x))} \] Mathematica : cpu = 0.0227422 (sec), leaf count = 49

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

Maple : cpu = 0.058 (sec), leaf count = 63

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