2.935   ODE No. 935

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

$$y^{\prime }(x)=\frac{x^6}{64}-\frac{3x^5}{16}+\frac{3}{16}{x}^{4}y(x)+\frac{13x^4}{16}-\frac{3}{2}{x}^{3}y(x)-\frac{3x^3}{2}+\frac{3}{4}{x}^{2}y(x{)}^2+\frac{7}{2}{x}^{2}y(x)+x^2-3xy(x{)}^2-2xy(x)+y(x{)}^3+y(x{)}^2-\frac{x}{2}+1$$ ✓ Mathematica : cpu = 10.2305 (sec), leaf count = 248

$$\text{Solve}[\frac{\sqrt[3]{2}(\frac{\frac{1}{4}(3x^2-12x+4)+3y(x)}{\sqrt[3]{2}}+2^{2/3})(2^{2/3}-2^{2/3}(\frac{1}{4}(3x^2-12x+4)+3y(x)))((\frac{1}{4}(-3x^2+12x-4)-3y(x)+1)\log (2^{2/3}-2^{2/3}(\frac{1}{4}(3x^2-12x+4)+3y(x)))+(\frac{1}{4}(3x^2-12x+4)+3y(x)-1)\log \left(2(\frac{\frac{1}{4}(3x^2-12x+4)+3y(x)}{\sqrt[3]{2}}+2^{2/3})\right)-3)}{9(-{(\frac{1}{4}(3x^2-12x+4)+3y(x))}^3+3(\frac{1}{4}(3x^2-12x+4)+3y(x))-2)}=c_1+\frac{1}{9}{2}^{2/3}x,y(x)]$$

✓ Maple : cpu = 0.199 (sec), leaf count = 55

$$\{y\left(x\right)=\frac{{\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(\ln ({\mathrm{e}}^{\mathit{\_}\mathit{Z}}-4){\mathrm{e}}^{\mathit{\_}\mathit{Z}}+\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+{\mathrm{e}}^{\mathit{\_}\mathit{Z}}x-4\ln ({\mathrm{e}}^{\mathit{\_}\mathit{Z}}-4)-4\mathit{\_}\mathit{C}\mathit{1}+4\mathit{\_}\mathit{Z}-4x+4)}}{4}-1-\frac{x^2}{4}+x\}$$