2.965   ODE No. 965

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

$$y^{\prime }(x)=\frac{\csc \left(\frac{y(x)}{2x}\right)\sec \left(\frac{y(x)}{2x}\right)\sec \left(\frac{y(x)}{x}\right)(x^4\sin \left(\frac{y(x)}{2x}\right)\sin \left(\frac{y(x)}{x}\right)\cos \left(\frac{y(x)}{2x}\right)+x^3\sin \left(\frac{y(x)}{2x}\right)\sin \left(\frac{y(x)}{x}\right)\cos \left(\frac{y(x)}{2x}\right)-\frac{1}{2}y(x)\sin \left(\frac{y(x)}{x}\right)+x\sin \left(\frac{y(x)}{2x}\right)\sin \left(\frac{y(x)}{x}\right)\cos \left(\frac{y(x)}{2x}\right)+\frac{1}{2}y(x)\sin \left(\frac{y(x)}{2x}\right)\cos \left(\frac{y(x)}{2x}\right)+\frac{1}{2}y(x)\sin \left(\frac{3y(x)}{2x}\right)\cos \left(\frac{y(x)}{2x}\right))}{x}$$ ✓ Mathematica : cpu = 0.0580835 (sec), leaf count = 29

$$\left\{\{y(x)\to x{\sin }^{-1}\left(x{e}^{c_1+\frac{x^3}{3}+\frac{x^2}{2}}\right)\}\right\}$$

✓ Maple : cpu = 0.113 (sec), leaf count = 25

$$\{y\left(x\right)=\frac{x}{2}\arccos ({\mathrm{e}}^{\frac{2x^3}{3}}{\mathrm{e}}^{x^2}\mathit{\_}\mathit{C}\mathit{1}{x}^2+1)\}$$