3.163   ODE No. 163

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

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

Mathematica: cpu = 0.011001 (sec), leaf count = 43 $$\left\{\{y(x)\to -\sqrt{-a^2}\sqrt{x}\tan (\frac{2\sqrt{-a^2}}{\sqrt{x}}-c_1)\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 26 $$\{y\left(x\right)=i\tan \left(1(\mathit{\_}\mathit{C}\mathit{1}\sqrt{x}-2ia)\frac{1}{\sqrt{x}}\right)\sqrt{x}a\}$$