3.429   ODE No. 429

\[ \boxed { ax \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}- \left ( ay \left ( x \right ) +bx-a-b \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +by \left ( x \right ) =0} \]

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

Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]

Maple: cpu = 0.437 (sec), leaf count = 96 \[ \left \{ y \left ( x \right ) ={\frac {1}{a} \left ( bx+a+b-2\,\sqrt {abx +{b}^{2}x} \right ) },y \left ( x \right ) ={\frac {1}{a} \left ( bx+a+b+2 \,\sqrt {abx+{b}^{2}x} \right ) },y \left ( x \right ) ={\frac { \left ( - a{{\it \_C1}}^{2}+{\it \_C1}\,b \right ) x}{-{\it \_C1}\,a+b}}+{\frac { \left ( -a-b \right ) {\it \_C1}}{-{\it \_C1}\,a+b}} \right \} \]