3.947   ODE No. 947

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=1/2\frac{2x^2\cos \left(x\right)+2\sin \left(x\right)x^3-2x\sin \left(x\right)+2x+2x^2{\left(y\left(x\right)\right)}^2-4y\left(x\right)\sin \left(x\right)x+4y\left(x\right)\cos \left(x\right)x^2+4xy\left(x\right)+3-\cos \left(2x\right)-2\sin \left(2x\right)x-4\sin \left(x\right)+x^2\cos \left(2x\right)+x^2+4\cos \left(x\right)x}{x^3}=0}}$$

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

Mathematica: cpu = 0.108014 (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 = 0.171 (sec), leaf count = 36 $$\{y\left(x\right)=-\frac{x}{2}(2\frac{\cos \left(x\right)}{x}-2\frac{\sin \left(x\right)}{x^2}+2x^{-2})+{(\mathit{\_}\mathit{C}\mathit{1}-\ln \left(x\right))}^{-1}\}$$