3.17   ODE No. 17

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) - \left ( y \left ( x \right ) \right ) ^{2}-3\,y \left ( x \right ) +4=0} \]

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

Mathematica: cpu = 0.022503 (sec), leaf count = 34 \[ \left \{\left \{y(x)\to \frac {-4 e^{5 c_1+5 x}-1}{e^{5 c_1+5 x}-1}\right \}\right \} \]

Maple: cpu = 0.093 (sec), leaf count = 25 \[ \left \{ y \left ( x \right ) =-{\frac {4\,{{\rm e}^{5\,x}}{\it \_C1}+1 }{-1+{{\rm e}^{5\,x}}{\it \_C1}}} \right \} \]

Sage: cpu = 0.052 (sec), leaf count = 0 \[ \left [-\frac {1}{5} \, \log \left (y\left (x\right ) + 4\right ) + \frac {1}{5} \, \log \left (y\left (x\right ) - 1\right ) = c + x, \text {\texttt {separable}}\right ] \]