861.符号法* 5/48回 分方程是L+Rj=E,即 +r (6.1-2) Heaviside把式(6.1-2)改写为 E Lp R 算符p出现在分母中是没有意义的.式(61-3)最多只能当作“是微分 方程61-2)的解这句话的缩写.但是 Heaviside竟把(61-3)的分式展 开为级数并逐项应用(61-1) E E E R p+R p1+ P t Lp E R1 R2 Lp L2p2 L3 E「R1R21R31R41 RILP L2P2fLp3-L4p4 ● First●Prev●Next●Last● Go Back● Full Screen●cose●Quit• First • Prev • Next • Last • Go Back • Full Screen • Close • Quit §6.1. ÎÒ{∗ 5/48 ©§´ L d j dt + R j = E§=  L d dt + R  j = E. (6.1-2) Heaviside rª(6.1-2)U j = E L p + R 1. (6.1-3) ŽÎ p Ñy3©1¥´vk¿Â©ª(6.1-3)õUŠ“ j ´‡© §(6.1-2))”ùé{ ©´ Heaviside ¾r(6.1-3)©ªÐ m?ê¿Å‘A^(6.1-1)© j = E L p + R 1 = E L p · 1 1 + R l 1 p 1 = E L p  1 + R L 1 p −1 1 = E L p  1 − R L 1 p + R 2 L2 1 p 2 − R 3 L3 1 p 3 + · · ·  1 = E R  R L 1 p − R 2 L2 1 P2 + R 3 L3 1 p 3 − R 4 L4 1 p 4 + · · ·  1