2.12   ODE No. 12

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

\[ y'(x)+y(x)^2-1=0 \] Mathematica : cpu = 0.0443363 (sec), leaf count = 34

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

Maple : cpu = 0.033 (sec), leaf count = 8

\[ \left \{ y \left ( x \right ) =\tanh \left ( x+{\it \_C1} \right ) \right \} \]