Efficiency Solution Of A Species Of Boundary-Value Problems For Second Order Nonlinear Ordinary Differential Equations

This article is divided into two parts.In the first part,we prove the solution of initial-value problem for second order nonlinear ordinary differential equationwhich satisfy the following conditions:(1) f and (?)f/(?)y, (?)f/(?)y' are continuous on the set Ω = {(x,y,y')|a ≤ x ≤ b,-∞ 0, forall(x,y,y')∈Ω (3)a constant M exists, with 0 < (?)f(x,y,y')/(?)y' ≤ M, forall(x,y,y') ∈ Ωthen the solution is strictly monotone increasing in the variable m.And basis this theorem, we can efficiently use the dichotomy method to solvethe boundary-value problem for second order nonlinear ordinary differentialequationwhich satisfied the above conditions.In the second part, we produce the method how to ues EXCEL to solve the differential equation.