Let $f(x)$ be a given differentiable function. Consider the following differential equation in $y$ $$f(x) \frac{dy}{dx} = yf’(x)-y^2.$$ The general solution of this equation is given by
- $y=-\frac{x+c}{f(x)}$
- $y^2=\frac{f(x)}{x+c}$
- $y=\frac{f(x)}{x+c}$
- $y=\frac{\left[f(x)\right]^2}{x+c}$