Yan Yun
Abstract
In this paper,by means of variable substitute,a new integrable form of third order linear differential equation was obtained.Particularly,a necessary and sufficient condition of converting to third order linear differential equation with constants coefficients form equation was proved.
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In this paper,by means of variable substitute,a new integrable form of third order linear differential equation was obtained.Particularly,a necessary and sufficient condition of converting to third order linear differential equation with constants coefficients form equation was proved.
Key concepts: Homogeneous differential equation, Linear differential equation, Mathematics, Differential equation, First-order partial differential equation, Integrable system, Third order, Mathematical analysis