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 = 1.38911 (sec), leaf count = 26

\[\text {Solve}\left [x=-y(x)^2+c_2 e^{e^{-c_1} y(x)},y(x)\right ]\] Maple : cpu = 1.331 (sec), leaf count = 23

\[\left \{\frac {-c_{1} y \left (x \right )+c_{2}+\ln \left (y \left (x \right )^{2}+x \right )+2}{y \left (x \right )} = 0\right \}\]