2.439   ODE No. 439

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

$$x^2{y}^{\prime }(x{)}^2+3xy(x)y^{\prime }(x)+3y(x{)}^2=0$$ ✓ Mathematica : cpu = 0.0144534 (sec), leaf count = 49

$$\{\{y(x)\to c_1{x}^{\frac{1}{2}(-3-i\sqrt{3})}\},\{y(x)\to c_1{x}^{\frac{1}{2}i(\sqrt{3}+3i)}\}\}$$

✓ Maple : cpu = 0.056 (sec), leaf count = 33

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