HU Ai-lian
Abstract
We make up some suitable transformations and study the integrability conditions of a class of third-order nonlinear differential equation:y+py″+qy′+ry=f(x)(y″-sy′+s_1y)~n(n≠0,where p,q,r,s,s_1,n are constants).The Integral expression of its general solution of this equation is given.
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We make up some suitable transformations and study the integrability conditions of a class of third-order nonlinear differential equation:y+py″+qy′+ry=f(x)(y″-sy′+s_1y)~n(n≠0,where p,q,r,s,s_1,n are constants).The Integral expression of its general solution of this equation is given.
Key concepts: Mathematics, Class (philosophy), Nonlinear system, Differential equation, Order (exchange), Mathematical analysis, Third order, Pure mathematics