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二阶微分方程通解的问题

2025-03-16 19:06:24

推荐回答（1个）

回答1：

答案是D，二阶方程的通解含有2个待定系数
A有3个系数，所以是3阶方程，B有一个系数，所以是1阶方程
C可以写成y = lnC1 + lnx + lnC2 + lnsinx 其中lnC1和lnC2可以合并成一个，所以也是一阶方程，当然如果两个地方都是C1那更是一阶方程了。
只有D的C1和C2不能合并，所以是二阶方程的通解。

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