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常数变易法求解三阶常系数非齐次线性微分方程
On Solving Linear Differential Equations of Order Three with Constant-transform Method
【摘要】 用解一阶微分方程的常数变易法求解三阶常系数非齐次线性微分方程y′′′+py′′+qy′+sy=f(x),其优点是无需求特解,无须求基本解组,但可求通解,并且给出了一个通用的公式。
【Abstract】 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. The merit is that the general solution can be found without seeking the typical solution and the basic solutions.
【关键词】 常数变易法;
通解;
微分方程;
【Key words】 Constant-transform method; general solution; equation of differential coefficient;
【Key words】 Constant-transform method; general solution; equation of differential coefficient;
- 【文献出处】 唐山师范学院学报 ,Journal of Tangshang Teachers College , 编辑部邮箱 ,2005年02期
- 【分类号】O241.8
- 【被引频次】1
- 【下载频次】547