利用线性变换,统一给出常系数线性方程齐次通解和非齐次特解解构造定理的简化证明。
Using linear transform, the simple proof for solution of higher order linear differential equations was given.
在求解域上,利用迦辽金法,将泊松方程的非齐次部分用一个5阶多项式近似表示,而这些多项式对应的方程特解可以很容易获得。
In the solution domain, thePoisson equation is approximated with the 5-order polynomial using Galerkin method, and the particular solution of the polynomial can be determined easily.
给出了常系数非齐次线性微分方程特解的一种新的公式化求解方法。
This paper given the formula of solution for nonhomogeneous linear differential equation with constant coefficients.
二阶常系数非齐次线性微分方程的特解一般都是用“待定系数”法求得的,但求解过程都比较繁琐。
In general, special solution of non-homogeneous linear equation of constant coefficient of the second order is obtained by the method of undetermined coefficient, but it's process is too complicated.
本文给出了一个二阶常系数线性非齐次微分方程的特解公式。
This paper deals with the formula of particular solution to 2-order linear inhomogeneous differential equation with constant coefficients.
利用常数变易法求解具有实特征根的四阶常系数非齐次线性微分方程,在无需求其特解及基本解组的情况下给出其通解公式,并举例验证公式的适用性。
Demonstrated in this paper is how the Constant-transform method, the typical method for solving differential equations of order one, is used in solving linear differential equations of order three.
提出了非齐次线性递归方程的降阶公式,并由此导出了常系数非齐次线性递归方程的特解公式。
We give a theoretical basis for special solution of the linear non-homogeneous recursion equation with constant coefficient.
提出了非齐次线性递归方程的降阶公式,并由此导出了常系数非齐次线性递归方程的特解公式。
We give a theoretical basis for special solution of the linear non-homogeneous recursion equation with constant coefficient.
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