2.969   ODE No. 969

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

$$y^{\prime }(x)=\frac{\csc \left(\frac{y(x)}{2x}\right)\sec \left(\frac{y(x)}{2x}\right)\sec \left(\frac{y(x)}{x}\right)(-\frac{1}{2}xy(x)\sin \left(\frac{y(x)}{x}\right)-\frac{1}{2}y(x)\sin \left(\frac{y(x)}{x}\right)+x\sin \left(\frac{y(x)}{2x}\right)\sin \left(\frac{y(x)}{x}\right)\cos \left(\frac{y(x)}{2x}\right)+\frac{1}{2}xy(x)\sin \left(\frac{y(x)}{2x}\right)\cos \left(\frac{y(x)}{2x}\right)+\frac{1}{2}y(x)\sin \left(\frac{y(x)}{2x}\right)\cos \left(\frac{y(x)}{2x}\right)+\frac{1}{2}xy(x)\sin \left(\frac{3y(x)}{2x}\right)\cos \left(\frac{y(x)}{2x}\right)+\frac{1}{2}y(x)\sin \left(\frac{3y(x)}{2x}\right)\cos \left(\frac{y(x)}{2x}\right))}{x(x+1)}$$ ✓ Mathematica : cpu = 0.239056 (sec), leaf count = 19

$$\left\{\{y(x)\to x{\sin }^{-1}\left(\frac{e^{c_1}x}{x+1}\right)\}\right\}$$ ✓ Maple : cpu = 0.666 (sec), leaf count = 15

$$\{y\left(x\right)=\arcsin \left(\frac{\mathit{\_}\mathit{C}\mathit{1}x}{1+x}\right)x\}$$