3.523   ODE No. 523

$$\boxed{{\displaystyle {\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^3-ax\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+x^3=0}}$$

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.046 (sec), leaf count = 299 $$\{y\left(x\right)=\int -\frac{i}{12}(\sqrt{3}{(-108x^3+12\sqrt{-3x^3(4a^3-27x^3)})}^{\frac{2}{3}}-12\sqrt{3}ax-i{(-108x^3+12\sqrt{-3x^3(4a^3-27x^3)})}^{\frac{2}{3}}-12iax)\frac{1}{\sqrt[3]{-108x^3+12\sqrt{-3x^3(4a^3-27x^3)}}}\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1},y\left(x\right)=\int \frac{i}{12}(\sqrt{3}{(-108x^3+12\sqrt{-3x^3(4a^3-27x^3)})}^{\frac{2}{3}}-12\sqrt{3}ax+i{(-108x^3+12\sqrt{-3x^3(4a^3-27x^3)})}^{\frac{2}{3}}+12iax)\frac{1}{\sqrt[3]{-108x^3+12\sqrt{-3x^3(4a^3-27x^3)}}}\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1},y\left(x\right)=\int \frac{1}{6}({(-108x^3+12\sqrt{-3x^3(4a^3-27x^3)})}^{\frac{2}{3}}+12ax)\frac{1}{\sqrt[3]{-108x^3+12\sqrt{-3x^3(4a^3-27x^3)}}}\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1}\}$$