8.52   ODE No. 1642

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

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

Mathematica: cpu = 1.082137 (sec), leaf count = 40 \[ \text {DSolve}\left [f(x) h(y(x))+g(x) y'(x)-\frac {j(y(x)) y'(x)^2}{h(y(x))}+y''(x)=0,y(x),x\right ] \]

Maple: cpu = 0.203 (sec), leaf count = 0 \[ \text {could not solve} \]