3.391   ODE No. 391

\[ \boxed { \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+ \left ( ay \left ( x \right ) +bx \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +abxy \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.005501 (sec), leaf count = 29 \[ \left \{\left \{y(x)\to c_1 e^{-a x}\right \},\left \{y(x)\to c_1-\frac {b x^2}{2}\right \}\right \} \]

Maple: cpu = 0.0 (sec), leaf count = 22 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{-ax}},y \left ( x \right ) =-{\frac {b{x}^{2}}{2}}+{\it \_C1} \right \} \]