2.298   ODE No. 298

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

$$3xy(x{)}^2{y}^{\prime }(x)+y(x{)}^3-2x=0$$ ✓ Mathematica : cpu = 0.00994894 (sec), leaf count = 72

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

✓ Maple : cpu = 0.02 (sec), leaf count = 99

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