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| 求y″+py′+qy=f(x)特解的一种新方法 |
| The New Method of Finding the Special Solution to y″+py′+qy=f(χ) |
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| DOI： |
| 中文关键词: 微分方程 特征根 特解 |
| 英文关键词: differential equation latent root special solution |
| 基金项目: |
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| 摘要点击次数: 4287 |
| 全文下载次数: 3659 |
| 中文摘要: |
| 对于二阶常系数非齐次线性微分方程:y″+py′+gy=f（x）,给出了当特征根 r1与 r2不等时的特解公式。利用该公式,只需求出两个一阶线性微分方程的特解,就可以得到相应二阶常系数非齐次线性微分方程的特解。 |
| 英文摘要: |
| With regard to the kmcl of differential equation y″+py′qy=f（Χ）,the author gives the special solution formula as r1≠r2.Only finding out the special solutions to two linear first order differential equations and using the formula,we can obtain the corresponding special solution to nonhomogeneous linear ordinary differential equation of the second order. |
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