2.1633   ODE No. 1633

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

$$ay(x)y^{\prime }(x)+by(x{)}^3+y^{″}(x)=0$$ ✗ Mathematica : cpu = 39.1883 (sec), leaf count = 0 , could not solve

DSolve[b*y[x]^3 + a*y[x]*Derivative[1][y][x] + Derivative[2][y][x] == 0, y[x], x]

✓ Maple : cpu = 0.283 (sec), leaf count = 97

$$\{{\int }^{y\left(x\right)}{\left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-2a{\mathit{\_}\mathit{a}}^2\mathit{A}\mathit{r}\mathit{t}\mathit{a}\mathit{n}\mathit{h}\left(\frac{{\mathit{\_}\mathit{a}}^{2}a+4\mathit{\_}\mathit{Z}}{\sqrt{{\mathit{\_}\mathit{a}}^4(a^2-8b)}}\right)+\mathit{\_}\mathit{C}\mathit{1}\sqrt{{\mathit{\_}\mathit{a}}^4(a^2-8b)}-\ln ({\mathit{\_}\mathit{a}}^{4}b+\mathit{\_}\mathit{Z}{\mathit{\_}\mathit{a}}^{2}a+2{\mathit{\_}\mathit{Z}}^2)\sqrt{{\mathit{\_}\mathit{a}}^4(a^2-8b)})\right)}^{-1}d\mathit{\_}\mathit{a}-x-\mathit{\_}\mathit{C}\mathit{2}=0\}$$