第二章控制系统的数学模型例题(8)

杨平《自动控制原理》附加例题

Using the laplace transform methodes solve the differential equations

dx (t ) + x (t ) = 0, x (0 ) = 1 dt 解：sx (s ) x (0 ) + x (s ) = 0 1 x (s )(s + 1) = 1,x (s ) = s +1 t x (t ) = e