A Study of Partial Differential Problem with Maple

Abstract

The present paper considers the partial differential problem of two types of two variables functions. The infinite series forms of any order partial derivatives of these two variables functions can be obtained mainly using binomial series and differentiation term by term theorem. Moreover, we propose some two variables functions to determine their partial derivatives and evaluate their higher order partial derivative values practically. At the same time, we employ Maple to calculate the approximations of these higher order partial derivative values and their infinite series forms for verifying our answers.
Key Words: two variables functions; partial derivatives; infinite series forms; binomial series; differentiation term by term theorem; Maple