8.55   ODE No. 1645

\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) + \left ( \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+1 \right ) \left ( h \left ( x,y \left ( x \right ) \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +j \left ( x,y \left ( x \right ) \right ) \right ) =0} \]

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

Mathematica: cpu = 0.172522 (sec), leaf count = 34 \[ \text {DSolve}\left [\left (y'(x)^2+1\right ) \left (y'(x) h(x,y(x))+j(x,y(x))\right )+y''(x)=0,y(x),x\right ] \]

Maple: cpu = 0.0 (sec), leaf count = 0 \[ \text {could not solve} \]