2.1707   ODE No. 1707

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

\[ a y(x) y'(x)+b y(x)^2+y(x) y''(x)-y'(x)^2=0 \] Mathematica : cpu = 0.0761008 (sec), leaf count = 31

\[\left \{\left \{y(x)\to c_2 e^{-\frac {b x}{a}-\frac {c_1 e^{-a x}}{a}}\right \}\right \}\] Maple : cpu = 1.363 (sec), leaf count = 39

\[\left \{y \left (x \right ) = {\mathrm e}^{\frac {b}{a^{2}}} {\mathrm e}^{\frac {c_{1} {\mathrm e}^{-a x}}{a}} {\mathrm e}^{-\frac {c_{2}}{a}} {\mathrm e}^{-\frac {b x}{a}}\right \}\]