2.736   ODE No. 736

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

\[ y'(x)=\frac {x^4-2 x^2 y(x)+2 x^2+y(x)^2+2 x-1}{x+1} \] Mathematica : cpu = 0.235856 (sec), leaf count = 31

\[\left \{\left \{y(x)\to x^2+\frac {(x+1)^2}{-\frac {x^2}{2}-x+c_1}+1\right \}\right \}\] Maple : cpu = 0.256 (sec), leaf count = 43

\[\left \{y \left (x \right ) = \frac {x^{2}+c_{1} \left (x^{4}+2 x^{3}-x^{2}-2 x -2\right )+1}{c_{1} \left (x^{2}+2 x \right )+1}\right \}\]