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一種特殊類型的一次聯立方程的逐次近似解法在1954年12月號本通報上曾經路見可同志討論過,本文將討論下屬類型一次非齊次聯立方程的準確解法,方程組可寫出爲 x_n+2+ax_(n+1)+bx_n=B_(n+1), b≠0(n=0,1,2,…,p—2), (1)其中a,b爲二常數,B_n爲已知量,P爲一正整數。這種類型的方程组無論在物理或工程的應用問題中都是常見的。例如著名的Clapeyron三齐矩力程(當樑之跨度等長時),即屬(1)類型,在這裹作者將提出應用參變數變動法求方程組
A successive approximation of a particular type of simultaneous equations was discussed by Lu Jianchao in the December 1954 issue. This article will discuss the exact solution of subordinate simultaneous non-homogeneous simultaneous equations. The equations can be written. Is x_n+2+ax_(n+1)+bx_n=B_(n+1), b≠0(n=0,1,2,...,p-2), (1) where a and b are two constants. B_n is a known quantity and P is a positive integer. This type of equations is common in both physical and engineering application problems. For example, the famous Clapeyron triple moment method (when the spans of beams are of equal length) is a type (1), in which the author will propose to apply the parametric variation method to find the equations.