2.1525   ODE No. 1525

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

$$ay(x)+x^6{y}^{(3)}(x)+6x^5{y}^{″}(x)=0$$ ✓ Mathematica : cpu = 0.43445 (sec), leaf count = 102

$$\left\{\{y(x)\to c_1{e}^{\frac{\sqrt[3]{a}}{x}}(2x-\sqrt[3]{a})+c_2{e}^{\frac{(-1{)}^{2/3}\sqrt[3]{a}}{x}}(x-\frac{1}{2}(-1{)}^{2/3}\sqrt[3]{a})+c_3{e}^{-\frac{\sqrt[3]{-1}\sqrt[3]{a}}{x}}(\frac{1}{2}\sqrt[3]{-1}\sqrt[3]{a}+x)\}\right\}$$

✓ Maple : cpu = 0.487 (sec), leaf count = 142

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}(2ax+\sqrt[3]{-a^4}){\mathrm{e}}^{-\frac{1}{ax}\sqrt[3]{-a^4}}+\mathit{\_}\mathit{C}\mathit{2}(-4iax+i\sqrt[3]{-a^4}-\sqrt[3]{-a^4}\sqrt{3}){\mathrm{e}}^{\frac{-\frac{i}{2}(-\sqrt{3}+i)}{ax}\sqrt[3]{-a^4}}+\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{\frac{-\frac{i}{2}(\sqrt{3}+i)}{ax}\sqrt[3]{-a^4}}(\sqrt[3]{-a^4}\sqrt{3}-4iax+i\sqrt[3]{-a^4})\}$$