3.461   ODE No. 461

$$\boxed{{\displaystyle \mathit{d}\mathit{0}\left(x\right){\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2+2\mathit{b}\mathit{0}\left(x\right)y\left(x\right)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+\mathit{c}\mathit{0}\left(x\right){\left(y\left(x\right)\right)}^2+2\mathit{d}\mathit{0}\left(x\right)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+2\mathit{e}\mathit{0}\left(x\right)y\left(x\right)+\mathit{f}\mathit{0}\left(x\right)=0}}$$

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

Mathematica: cpu = 108.142232 (sec), leaf count = 49 $$\text{DSolve}[a(x)y^{\prime }(x{)}^2+2b(x)y(x)y^{\prime }(x)+c(x)y(x{)}^2+2d(x)y^{\prime }(x)+2e(x)y(x)+f(x)=0,y(x),x]$$

Maple: cpu = 19.953 (sec), leaf count = 0 $$\text{could not solve}$$