Abstract
In this paper we will discuss Euler’s theorem for homogenous functions to solve different order partial differential equations. We will see that how we can predict the solution of partial differential Equation using different approaches of this theorem. In fact we also consider the case when more than two independent variables will be involved in the partial differential equation whenever dependent functions will be homogenous functions. We will throw a light on one method called Ajayous rules to predict the solution of homogenous partial differential equation.
Highlights
Leonard Euler was one of the greatest mathematicians
We consider the case when more than two independent variables will be involved in the partial differential equation whenever dependent functions will be homogenous functions
We will throw a light on one method called Ajayous rules to predict the solution of homogenous partial differential equation
Summary
Different forms of Euler’s theorem forhomogeneous functions to solve partial differential equation. Article History: Received: 11 January 2021; Accepted: 27 February 2021; Published online: 5 April 2021 Abstract:In this paper we will discuss Euler’s theorem for homogenous functions to solve different order partial differential equations. We will see that how we can predict the solution of partial differential Equation using different approaches of this theorem. We consider the case when more than two independent variables will be involved in the partial differential equation whenever dependent functions will be homogenous functions. We will throw a light on one method called Ajayous rules to predict the solution of homogenous partial differential equation.
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