已知dr(t)/dt+3r(t)=3e(t),当e(t)=u(t)时,求特解.特解貌似是1,

Question

已知dr(t)/dt+3r(t)=3e(t),当e(t)=u(t)时,求特解.特解貌似是1,

Answer 1

激励为常数E或Eu（t）时,特解为一常数B
带入方程0＋3B＝3u[因为u为阶跃函数所以等于1]所以特解r＝B=1