2.1829   ODE No. 1829

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

$$3x^2{y}^{″}(x{)}^2+4y^{\prime }(x{)}^2-2(3x{y}^{\prime }(x)+y(x))y^{″}(x)=0$$ ✓ Mathematica : cpu = 0.0064 (sec), leaf count = 24

$$\left\{\{y(x)\to \frac{c_1^2{x}^2}{c_2}+c_{1}x+c_2\}\right\}$$

✓ Maple : cpu = 0.701 (sec), leaf count = 32

$$\{y\left(x\right)=x^{\frac{2\sqrt{3}}{3}}\mathit{\_}\mathit{C}\mathit{1}x,y\left(x\right)=\frac{{\mathit{\_}\mathit{C}\mathit{1}}^2{x}^2}{\mathit{\_}\mathit{C}\mathit{2}}+\mathit{\_}\mathit{C}\mathit{1}x+\mathit{\_}\mathit{C}\mathit{2}\}$$