2.936   ODE No. 936

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

$$y^{\prime }(x)=\frac{3}{64}{x}^{4}y(x)-\frac{3}{16}{x}^{3}y(x)+\frac{3}{8}{x}^{2}y(x{)}^2+\frac{7}{16}{x}^{2}y(x)+\frac{x^6}{512}-\frac{3x^5}{256}+\frac{5x^4}{128}-\frac{5x^3}{64}+\frac{x^2}{16}-\frac{3}{4}xy(x{)}^2-\frac{1}{2}xy(x)+y(x{)}^3+y(x{)}^2-\frac{x}{4}+1$$ ✓ Mathematica : cpu = 0.258814 (sec), leaf count = 99

$$\text{Solve}[-\frac{89}{3}\text{RootSum}[-89{\mathrm{\#}\text{1}}^3+6\sqrt[3]{178}\mathrm{\#}\text{1}-89\mathrm{\&},\frac{\log (\frac{2^{2/3}(\frac{1}{8}(3x^2-6x+8)+3y(x))}{\sqrt[3]{89}}-\mathrm{\#}\text{1})}{2\sqrt[3]{178}-89{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=\frac{{89}^{2/3}x}{18\sqrt[3]{2}}+c_1,y(x)]$$ ✓ Maple : cpu = 0.248 (sec), leaf count = 39

$$\{y\left(x\right)=-\frac{x^2}{8}+\frac{x}{4}+\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-x+4{\int }^{\mathit{\_}\mathit{Z}}{(4{\mathit{\_}\mathit{a}}^3+4{\mathit{\_}\mathit{a}}^2+3)}^{-1}d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1})\}$$