2.905   ODE No. 905

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

$$y^{\prime }(x)=\frac{a^3{x}^{3}y(x{)}^3+a^3{x}^{3}y(x{)}^2+3a^2{x}^{2}y(x{)}^2+2a^2{x}^{2}y(x)+a^3{x}^3+a^{2}x+3axy(x)+ax+1}{a^3{x}^3}$$ ✓ Mathematica : cpu = 0.215357 (sec), leaf count = 85

$$\text{Solve}[-\frac{29}{3}\text{RootSum}[-29{\mathrm{\#}\text{1}}^3+3\sqrt[3]{29}\mathrm{\#}\text{1}-29\mathrm{\&},\frac{\log (\frac{\frac{ax+3}{ax}+3y(x)}{\sqrt[3]{29}}-\mathrm{\#}\text{1})}{\sqrt[3]{29}-29{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=\frac{1}{9}{29}^{2/3}x+c_1,y(x)]$$ ✓ Maple : cpu = 0.117 (sec), leaf count = 46

$$\{y\left(x\right)=\frac{29\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-81{\int }^{\mathit{\_}\mathit{Z}}{(841{\mathit{\_}\mathit{a}}^3-27\mathit{\_}\mathit{a}+27)}^{-1}d\mathit{\_}\mathit{a}+x+3\mathit{\_}\mathit{C}\mathit{1})ax-3ax-9}{9ax}\}$$