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常数变易法求解一类四阶常系数非齐次线性微分方程
On Solving Linear Differential Equations of Order Four with Constant-transform Method
【摘要】 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。
【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 four.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;
微分方程;
通解;
【Key words】 Constant-transform method; eqution of differential coefficient; generals olution;
【Key words】 Constant-transform method; eqution of differential coefficient; generals olution;
- 【文献出处】 中国科技信息 ,China Science and Technology Information , 编辑部邮箱 ,2007年07期
- 【分类号】O175
- 【下载频次】493