2.813   ODE No. 813

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

$$y^{\prime }(x)=\frac{1}{2}\sqrt{a}(2x^3\sqrt{a{x}^4+8y(x)}+2x^2\sqrt{a{x}^4+8y(x)}+2\sqrt{a{x}^4+8y(x)}-\sqrt{a}{x}^3)$$ ✓ Mathematica : cpu = 0.548159 (sec), leaf count = 93

$$\left\{\{y(x)\to \frac{144a{x}^8+384a{x}^7+256a{x}^6+1152a{x}^5+1464a{x}^4+96a{x}^3+2304a{x}^2-1152a{c}_1{x}^4-1536a{c}_1{x}^3+288ax-4608a{c}_{1}x+9a+2304a{c}_1{}^2-288a{c}_1}{1152}\}\right\}$$ ✓ Maple : cpu = 0.852 (sec), leaf count = 40

$$\{\frac{1}{4}\sqrt{a{x}^4+8y\left(x\right)}+\frac{-3x^4-4x^3-12x}{12}\sqrt{a}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$