2.1783   ODE No. 1783

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

\[ -2 \left (x-y(x)^2\right ) y'(x)^3+\left (4 y(x) y'(x)+1\right ) y'(x)+\left (y(x)^2+x\right ) y''(x)=0 \] Mathematica : cpu = 1.03242 (sec), leaf count = 26

\[\text {Solve}\left [x=-y(x)^2+c_2 e^{e^{-c_1} y(x)},y(x)\right ]\] Maple : cpu = 0.385 (sec), leaf count = 23

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