3.170   ODE No. 170

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

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

Mathematica: cpu = 0.022003 (sec), leaf count = 43 $$\left\{\{y(x)\to -\frac{x^3(-\frac{c_1}{x^2}+\frac{1}{x^2}-\frac{\log (x)}{x^2})}{\frac{c_1}{x}+\frac{\log (x)}{x}}\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 23 $$\{y\left(x\right)=\frac{x^2(\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{1}-1)}{\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{1}}\}$$