2.963   ODE No. 963

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

$$y^{\prime }(x)=\frac{\frac{9}{2}{x}^{2}y(x)-6x^{2}y(x)\cos (x)+\frac{3}{2}{x}^{2}y(x)\cos (2x)-\frac{5x^3}{2}+\frac{3x^2}{2}+x^2\sin (x)+\frac{15}{4}{x}^3\cos (x)-\frac{3}{2}{x}^3\cos (2x)+\frac{1}{4}{x}^3\cos (3x)-2x^2\cos (x)+\frac{1}{2}{x}^2\cos (2x)-3xy(x{)}^2-2xy(x)+y(x{)}^3+y(x{)}^2+3xy(x{)}^2\cos (x)+2xy(x)\cos (x)+x-x\cos (x)+1}{x}$$ ✓ Mathematica : cpu = 0.457623 (sec), leaf count = 108

$$\text{Solve}[-\frac{29}{3}\text{RootSum}[-29{\mathrm{\#}\text{1}}^3+3\sqrt[3]{29}\mathrm{\#}\text{1}-29\mathrm{\&},\frac{\log (\frac{\frac{3y(x)}{x}+\frac{-3x+3x\cos (x)+1}{x}}{\sqrt[3]{29}\sqrt[3]{\frac{1}{x^3}}}-\mathrm{\#}\text{1})}{\sqrt[3]{29}-29{\mathrm{\#}\text{1}}^2}\mathrm{\&}]=\frac{1}{9}{29}^{2/3}{\left(\frac{1}{x^3}\right)}^{2/3}{x}^2\log (x)+c_1,y(x)]$$ ✓ Maple : cpu = 0.257 (sec), leaf count = 39

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