3.172   ODE No. 172

$$\boxed{{\displaystyle x^3\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-x^4{\left(y\left(x\right)\right)}^2+x^{2}y\left(x\right)+20=0}}$$

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

Mathematica: cpu = 0.040505 (sec), leaf count = 35 $$\left\{\{y(x)\to -\frac{5c_1{x}^4-\frac{4}{x^5}}{x(c_1{x}^5+\frac{1}{x^4})}\}\right\}$$

Maple: cpu = 0.203 (sec), leaf count = 26 $$\{y\left(x\right)=\frac{5x^9+4\mathit{\_}\mathit{C}\mathit{1}}{(-x^9+\mathit{\_}\mathit{C}\mathit{1})x^2}\}$$