8.55   ODE No. 1645

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+({\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2+1)(h(x,y\left(x\right))\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+j(x,y\left(x\right)))=0}}$$

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

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

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