3.395   ODE No. 395

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

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

Mathematica: cpu = 38.765923 (sec), leaf count = 32 $$\text{DSolve}[2f(x)y(x)y^{\prime }(x)+g(x)y(x{)}^2+h(x)+y^{\prime }(x{)}^2=0,y(x),x]$$

Maple: cpu = 0.968 (sec), leaf count = 0 $$\text{could not solve}$$