微分方程线性化

c
chriswhite
楼主 (未名空间)
请教个问题,非齐次二次微分方程中,

y(2)+Kx*y(1)=A*Kx

A是常数,Kx是x的函数。

如果我解的时候把Kx当成常数先解出解析解,然后再把Kx实际函数代入解析解中用。这种方法算出来的结果和实际差得很小,是否可行?如果可行这方法有没有个正规名称?能不能当成非线性方程的线性化?
verdelite
2 楼
This means your Kx does not change much in the range you are interested in. So it is approximately linear at the first place. It is not that you have
linearized it.