Question

常微分方程的基本解组，微分方程的通解怎么求

Answer 1

y=C1*t+C*e^t(1)求导=>y'=C1+C*e^t()继续求导=>y''=C*e^t()()入()=>C1=y'-C*e^t=y'-y''()()()入(1)=>y=(y'-y'')t+y''()整理得：(t-1)y''-t y'+...