2.455   ODE No. 455

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

$$a+x^3{y}^{\prime }(x{)}^2+x^{2}y(x)y^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.871131 (sec), leaf count = 123

$$\{\{y(x)\to -\frac{e^{-\frac{c_1}{2}}(x+2a{e}^{c_1})}{\sqrt{2}x}\},\{y(x)\to \frac{e^{-\frac{c_1}{2}}(x+2a{e}^{c_1})}{\sqrt{2}x}\},\{y(x)\to -\frac{e^{-\frac{c_1}{2}}(2ax+e^{c_1})}{\sqrt{2}x}\},\{y(x)\to \frac{e^{-\frac{c_1}{2}}(2ax+e^{c_1})}{\sqrt{2}x}\}\}$$ ✓ Maple : cpu = 0.61 (sec), leaf count = 66

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