2.947   ODE No. 947

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

$$y^{\prime }(x)=\frac{x^3\sin (x)+x^{2}y(x{)}^2+2x^{2}y(x)\cos (x)+\frac{x^2}{2}+x^2\cos (x)+\frac{1}{2}{x}^2\cos (2x)+2xy(x)-2xy(x)\sin (x)+x-x\sin (x)-x\sin (2x)-2\sin (x)+2x\cos (x)-\frac{1}{2}\cos (2x)+\frac{3}{2}}{x^3}$$ ✓ Mathematica : cpu = 0.109395 (sec), leaf count = 30

$$\left\{\{y(x)\to \frac{1}{c_1-\log (x)}-\frac{-\sin (x)+x\cos (x)+1}{x}\}\right\}$$

✓ Maple : cpu = 0.279 (sec), leaf count = 36

$$\{y\left(x\right)=-\frac{x}{2}(2\frac{\cos \left(x\right)}{x}-2\frac{\sin \left(x\right)}{x^2}+2x^{-2})+{(\mathit{\_}\mathit{C}\mathit{1}-\ln \left(x\right))}^{-1}\}$$