2.17   ODE No. 17

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

\[ y'(x)-y(x)^2-3 y(x)+4=0 \] Mathematica : cpu = 0.0240452 (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 = 0.112 (sec), leaf count = 25

\[ \left \{ y \left ( x \right ) =-{\frac {4\,{{\rm e}^{5\,x}}{\it \_C1}+1}{-1+{{\rm e}^{5\,x}}{\it \_C1}}} \right \} \]