8.52   ODE No. 1642

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

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

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

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