FINDING SOLUTIONS OF SECOND ORDER LINEAR HOMOGENEOUS QUATERNIONIC DIFFERENTIAL EQUATIONS

Abstract

In this paper, we propose a corresponding Wronskian method that can be used in quaternionic differential equations. By considering M (C, 2) consisting of 2 × 2 matrixes that correspond to the basis of quaternions, we define the Wronskian applicable to the quaternionic differential equations. In addition, we propose some steps for finding another solution using the reduction of the order of quaternionic homogeneous differential equations, and show how the steps can be used in examples.