3.173   ODE No. 173

$$\boxed{{\displaystyle x^3\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-x^6{\left(y\left(x\right)\right)}^2-(2x-3)x^{2}y\left(x\right)+3=0}}$$

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

Mathematica: cpu = 0.016002 (sec), leaf count = 29 $$\left\{\{y(x)\to \frac{1}{x^3(c_1{e}^{4x}+\frac{1}{4})}-\frac{3}{x^3}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 27 $$\{y\left(x\right)=-3\frac{{\left({\mathrm{e}}^x\right)}^4\mathit{\_}\mathit{C}\mathit{1}+1}{x^3({\left({\mathrm{e}}^x\right)}^4\mathit{\_}\mathit{C}\mathit{1}-3)}\}$$