Method for Solving Particular Solution of Linear Second Order OrdinaryDifferential Equations

[摘要] In this paper, we derive new method for solving particular solution of linear second order ordinary differential equations whenever one solution of their associated homogeneous differential equations is given. Also, we construct second solution of the associated homogeneous differential equation from this new method. Moreover, we have general solution method of linear second order ordinary differential equations without applying the two famous methods, undetermined coefficients method and variation of parameters method, for solving their particular solution.

[关键词] Reduction of order;Fundamental set