e-Alx(0-e Aox(t0)=eAt f(cjd →x0=+c+ur 例1:求解初值问题 dx(t) x1(t)-2x2(t)+6x3(t)- dt dx2(t) =-x1()+3x3() dt dx3() dt x1()-x2()+4x3()+e 1(0)=1,x2(0)=0,x3(0)=01 1 2 3 2 1 3 3 1 2 3 1 2 3 d ( ) ( ) 2 ( ) 6 ( ) d d ( ) ( ) 3 ( ) d d ( ) ( ) ( ) 4 ( ) d (0) 1, (0) 0, (0) 0 t t x t x t x t x t e t x t x t x t t x t x t x t x t e t x x x  = − − + −     = − +    = − − + +    = = = 例 1： 求解初值问题0 0 0 ( ) ( ) ( )d At t At A t e x t e x t e f     − − − − =  0 0 ( ) ( ) ( )d A t t t At A t x t e c e e f     − − = + 