2.959   ODE No. 959

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

$$y^{\prime }(x)=\frac{\csc \left(\frac{y(x)}{2x}\right)\sec \left(\frac{y(x)}{2x}\right)\sec \left(\frac{y(x)}{x}\right)(x^3\sin \left(\frac{y(x)}{2x}\right)\sin \left(\frac{y(x)}{x}\right)\cos \left(\frac{y(x)}{2x}\right)-\frac{1}{2}y(x)\sin \left(\frac{y(x)}{x}\right)+\frac{1}{2}y(x)\sin \left(\frac{y(x)}{2x}\right)\cos \left(\frac{y(x)}{2x}\right)+\frac{1}{2}y(x)\sin \left(\frac{3y(x)}{2x}\right)\cos \left(\frac{y(x)}{2x}\right))}{x}$$ ✓ Mathematica : cpu = 0.225676 (sec), leaf count = 20

$$\left\{\{y(x)\to x{\sin }^{-1}\left(e^{\frac{x^2}{2}+c_1}\right)\}\right\}$$ ✓ Maple : cpu = 0.353 (sec), leaf count = 15

$$\{y\left(x\right)=\arcsin \left({\mathrm{e}}^{\frac{x^2}{2}}\mathit{\_}\mathit{C}\mathit{1}\right)x\}$$