[例) 4x+y=10 x(0)=0 求 x(t) 已知 -x+3y+2y=0 y(0)=5 y(t) School of Mechanical Engineering ME369-Lecture 3.2 Shanghai Jiao Tong University Fall 2015 阶系统(First order system)的自由响应(free response) tr+x=0,x(0)= School of Mechanical Engineering ME369-Lecture 3.2 Shanghai Jiao Tong University Fall 2015 22 BE315-Lecture 3.3 Fall 2011 ME369 Lecture 3.2 Fall 2015 School of Mechanical Engineering Shanghai Jiao Tong University [例1] 4 10 3 2 0 x y x y y         (0) 0 (0) 5 x y      () () xt yt    ， 已知 求 BE315-Lecture 3.3 Fall 2011 ME369 Lecture 3.2 Fall 2015 School of Mechanical Engineering Shanghai Jiao Tong University 一阶系统(First order system)的自由响应(free response) 0  x x x x    0, (0)