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如何判断常微分方程的解数

更新时间: 2020-10-31 00:00:00     

解析解就是可以用数学表达式写出来的,给定任意自变量均可以得到结果,是种精确解。而数值解则是难以用数学表达式表达的,是在有限元法、插值、逼近等方法下求出来的近似解。比如y"+4y'=0,特征根为0,-4,故通解为y=C1+C2e^(-4t)用代换法:p=y',则y"=pdp/dy,代入得:pdp/dy+4p=0,得:dp/dy+4=0,得:p=-4y+C1。

关键词: 如何 判断 微分方程 解数

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