Abstract: In this paper, we discuss on the method of
differentiation and the Bernoulli and Riccati equations which have not been
considered for areolar equations. A reason for this is that the areolar
derivative does not have the arithmetic
properties of the usual quotient for analytic functions. We will try
to solve areolar equations to begin with the qualitative and geometric theory.
Keywords and phrases: partial areolar differential, Bernoulli equation, Riccati equation.