2.950   ODE No. 950

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

$$y^{\prime }(x)=\frac{3}{32}{a}^{2}b{x}^5+\frac{3}{16}{a}^2{x}^{4}y(x)+\frac{a^3{x}^6}{64}+\frac{a^2{x}^4}{16}+\frac{3}{16}a{b}^2{x}^4+\frac{3}{4}ab{x}^{3}y(x)+\frac{1}{4}ab{x}^3+\frac{3}{4}a{x}^{2}y(x{)}^2+\frac{1}{2}a{x}^{2}y(x)-\frac{ax}{2}+\frac{3}{4}{b}^2{x}^{2}y(x)+\frac{b^3{x}^3}{8}+\frac{b^2{x}^2}{4}+\frac{3}{2}bxy(x{)}^2+bxy(x)+y(x{)}^3+y(x{)}^2+1$$ ✓ Mathematica : cpu = 0.489696 (sec), leaf count = 141

$$\text{Solve}[-\frac{1}{3}(27b+58{)}^{2/3}\text{RootSum}[{\mathrm{\#}\text{1}}^3(27b+58{)}^{2/3}-32^{2/3}\mathrm{\#}\text{1}+(27b+58{)}^{2/3}\mathrm{\&},\frac{\log (\frac{\sqrt[3]{2}(\frac{1}{4}(3a{x}^2+6bx+4)+3y(x))}{\sqrt[3]{27b+58}}-\mathrm{\#}\text{1})}{2^{2/3}-{\mathrm{\#}\text{1}}^2(27b+58{)}^{2/3}}\mathrm{\&}]=\frac{(27b+58{)}^{2/3}x}{92^{2/3}}+c_1,y(x)]$$ ✓ Maple : cpu = 0.227 (sec), leaf count = 42

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