Abstract

T In this article we explained the structure of Frobenius method to solve a homogeneous linear differential equations of order two . In any homogeneous linear differential equations of order two we have three cases of two roots ( as a ,b ) of the indicial equation : Case1 : such that where is integer number and . Case 2 : . Case 3 : , such that . And we explained how to find the general solution of each case with many examples .

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