Youzhen Zhang
Abstract
By means of variable substitute,a new integrable form of third order linear differential equation was obtained.Particularly,a necessary and sufficient condition of equation eqution y″′+p(x)y″+q(x)y′+r(x)y=0 converting to third order linear differential eqution with constants coefficients form was proved.
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By means of variable substitute,a new integrable form of third order linear differential equation was obtained.Particularly,a necessary and sufficient condition of equation eqution y″′+p(x)y″+q(x)y′+r(x)y=0 converting to third order linear differential eqution with constants coefficients form was proved.
Key concepts: Linear differential equation, Homogeneous differential equation, Third order, Mathematics, Integrable system, Order (exchange), Differential equation, Mathematical analysis