8.53   ODE No. 1643

\[ \boxed { {\frac { \left ( 1-\mbox {D} \left ( j \right ) \left ( y \left ( x \right ) \right ) \right ) \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}}{j \left ( y \left ( x \right ) \right ) }}+f \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +g \left ( x \right ) j \left ( y \left ( x \right ) \right ) =0} \]

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

Mathematica: cpu = 0.409552 (sec), leaf count = 34 \[ \text {DSolve}\left [f(x) y'(x)+g(x) j(y(x))+h(y(x)) y'(x)^2+y''(x)=0,y(x),x\right ] \]

Maple: cpu = 0.265 (sec), leaf count = 0 \[ \text {could not solve} \]