3.17   ODE No. 17

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-{\left(y\left(x\right)\right)}^2-3y\left(x\right)+4=0}}$$

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

Mathematica: cpu = 0.022503 (sec), leaf count = 34 $$\left\{\{y(x)\to \frac{-4e^{5c_1+5x}-1}{e^{5c_1+5x}-1}\}\right\}$$

Maple: cpu = 0.093 (sec), leaf count = 25 $$\{y\left(x\right)=-\frac{4{\mathrm{e}}^{5x}\mathit{\_}\mathit{C}\mathit{1}+1}{-1+{\mathrm{e}}^{5x}\mathit{\_}\mathit{C}\mathit{1}}\}$$

Sage: cpu = 0.052 (sec), leaf count = 0 $$[-\frac{1}{5}\log (y\left(x\right)+4)+\frac{1}{5}\log (y\left(x\right)-1)=c+x,\mathtt{\text{separable}}]$$