Resumen de A simple method to find out when an ordinary differential equation is separable
We present an alternative method to that of Scott (D. Scott, When is an ordinary differential equation separable?, Amer. Math. Monthly 92 (1985), pp. 422-423) to teach the students how to discover whether a differential equation [image omitted] is separable or not when the nonlinearity f(x, y) is not explicitly factorized. Our approach is completely elementary and provides a necessary and sufficient condition for separability, as well as simple formulas for the explicit factors of f(x, y).
