y'(x)=\frac{\csc \left(\frac{y(x)}{2 x}\right) \sec \left(\frac{y(x)}{2 x}\right) \sec \left(\frac{y(x)}{x}\right) \left(x^2 \sin \left(\frac{y(x)}{2 x}\right) \sin \left(\frac{y(x)}{x}\right) \cos \left(\frac{y(x)}{2 x}\right)-\frac{1}{2} y(x) \sin \left(\frac{y(x)}{x}\right)+\frac{1}{2} y(x) \sin \left(\frac{y(x)}{2 x}\right) \cos \left(\frac{y(x)}{2 x}\right)+\frac{1}{2} y(x) \sin \left(\frac{3 y(x)}{2 x}\right) \cos \left(\frac{y(x)}{2 x}\right)\right)}{x}