2.15   ODE No. 15

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

\[ x^4-2 x^2 y(x)+y'(x)+y(x)^2-2 x-1=0 \] Mathematica : cpu = 0.0205734 (sec), leaf count = 25

\[\left \{\left \{y(x)\to \frac {1}{c_1 \left (-e^{2 x}\right )-\frac {1}{2}}+x^2+1\right \}\right \}\]

Maple : cpu = 0.177 (sec), leaf count = 37

\[ \left \{ y \left ( x \right ) ={\frac {{x}^{2} \left ( {{\rm e}^{x}} \right ) ^{2}{\it \_C1}-{x}^{2}+ \left ( {{\rm e}^{x}} \right ) ^{2}{\it \_C1}+1}{ \left ( {{\rm e}^{x}} \right ) ^{2}{\it \_C1}-1}} \right \} \]