2.1783   ODE No. 1783

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

\[ \left (y(x)^2+x\right ) y''(x)-2 \left (x-y(x)^2\right ) y'(x)^3+\left (4 y(x) y'(x)+1\right ) y'(x)=0 \] Mathematica : cpu = 1.45828 (sec), leaf count = 24

\[\text {Solve}\left [y(x)^2+x=c_2 e^{e^{-c_1} y(x)},y(x)\right ]\]

Maple : cpu = 0.174 (sec), leaf count = 23

\[ \left \{ {\frac {-{\it \_C1}\,y \left ( x \right ) +\ln \left ( x+ \left ( y \left ( x \right ) \right ) ^{2} \right ) +{\it \_C2}+2}{y \left ( x \right ) }}=0 \right \} \]