y'(x) \left(y(x)-\frac{3 f'(x)}{2 f(x)}\right)-\frac{y(x)^2 f'(x)}{2 f(x)}+y(x) \left(-\frac{f''(x)}{2 f(x)}+\frac{f'(x)^2}{f(x)^2}+f(x)\right)+y''(x)-y(x)^3=0