2.310   ODE No. 310

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

$$x^3+(5x^{2}y(x)+2y(x{)}^3)y^{\prime }(x)+5xy(x{)}^2=0$$ ✓ Mathematica : cpu = 0.0459177 (sec), leaf count = 159

$$\{\{y(x)\to -\frac{\sqrt{-\sqrt{2e^{4c_1}+23x^4}-5x^2}}{\sqrt{2}}\},\{y(x)\to \frac{\sqrt{-\sqrt{2e^{4c_1}+23x^4}-5x^2}}{\sqrt{2}}\},\{y(x)\to -\frac{\sqrt{\sqrt{2e^{4c_1}+23x^4}-5x^2}}{\sqrt{2}}\},\{y(x)\to \frac{\sqrt{\sqrt{2e^{4c_1}+23x^4}-5x^2}}{\sqrt{2}}\}\}$$

✓ Maple : cpu = 0.203 (sec), leaf count = 125

$$\{y\left(x\right)=-\frac{1}{2}\sqrt{-10x^2\mathit{\_}\mathit{C}\mathit{1}-2\sqrt{23x^4{\mathit{\_}\mathit{C}\mathit{1}}^2+2}}\frac{1}{\sqrt{\mathit{\_}\mathit{C}\mathit{1}}},y\left(x\right)=\frac{1}{2}\sqrt{-10x^2\mathit{\_}\mathit{C}\mathit{1}-2\sqrt{23x^4{\mathit{\_}\mathit{C}\mathit{1}}^2+2}}\frac{1}{\sqrt{\mathit{\_}\mathit{C}\mathit{1}}},y\left(x\right)=-\frac{1}{2}\sqrt{-10x^2\mathit{\_}\mathit{C}\mathit{1}+2\sqrt{23x^4{\mathit{\_}\mathit{C}\mathit{1}}^2+2}}\frac{1}{\sqrt{\mathit{\_}\mathit{C}\mathit{1}}},y\left(x\right)=\frac{1}{2}\sqrt{-10x^2\mathit{\_}\mathit{C}\mathit{1}+2\sqrt{23x^4{\mathit{\_}\mathit{C}\mathit{1}}^2+2}}\frac{1}{\sqrt{\mathit{\_}\mathit{C}\mathit{1}}}\}$$