2.716   ODE No. 716

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

$$y^{\prime }(x)=\frac{\sqrt{9x^4-4y(x{)}^3}+3x^4+3x^3}{(x+1)y(x{)}^2}$$ ✓ Mathematica : cpu = 2.69303 (sec), leaf count = 133

$$\{\{y(x)\to {(-\frac{3}{2})}^{2/3}\sqrt[3]{x^4-4{\log }^2(x+1)+8c_1\log (x+1)-4c_1{}^2}\},\{y(x)\to {\left(\frac{3}{2}\right)}^{2/3}\sqrt[3]{x^4-4{\log }^2(x+1)+8c_1\log (x+1)-4c_1{}^2}\},\{y(x)\to -\sqrt[3]{-1}{\left(\frac{3}{2}\right)}^{2/3}\sqrt[3]{x^4-4{\log }^2(x+1)+8c_1\log (x+1)-4c_1{}^2}\}\}$$ ✓ Maple : cpu = 0.442 (sec), leaf count = 37

$$\{{\int }_{\mathit{\_}\mathit{b}}^{y\left(x\right)}{\mathit{\_}\mathit{a}}^2\frac{1}{\sqrt{9x^4-4{\mathit{\_}\mathit{a}}^3}}\mathrm{d}\mathit{\_}\mathit{a}-\ln (1+x)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$