8.149   ODE No. 1739

$$\boxed{{\displaystyle 2\left(\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)\right)y\left(x\right)-{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2+4{\left(y\left(x\right)\right)}^2\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+1+f\left(x\right){\left(y\left(x\right)\right)}^2+{\left(y\left(x\right)\right)}^4=0}}$$

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

Mathematica: cpu = 0.050506 (sec), leaf count = 45 $$\text{DSolve}[f(x)y(x{)}^2+2y(x)y^{″}(x)+4y(x{)}^2{y}^{\prime }(x)-y^{\prime }(x{)}^2+y(x{)}^4+1=0,y(x),x]$$

Maple: cpu = 0.265 (sec), leaf count = 0 $$\text{could not solve}$$