作者hgi555 (名侦探胡子)
看板FCU_Talk
标题[考题][综合班][工程数学(二)][沈昭元][96下期中]
时间Thu Apr 17 12:57:41 2008
共两题
Q1.solve the laplace transform of the following periodic function
f1(t)=e^t for 0<t<2 f(t)=f(t+2)
课本习题第四章第39题 P4-51页
ans: 1-e^{-2(s-1)}
-----------
(s-1){1-e^(-2s)}
Q2.f(t)=1/2 t for0≦t≦2π f(t)=f(t+2π)
(1)sketch the graph
(2)determine the Fourier Series
(3)determine the Fouries Series up to the fifth harmonic
课本习题第六章第7题(b) P6-63页
(1) f(t)
π
╱
╱
t
2π
∞
(2) f(t)=π/2 + Σ(-1/n)sin nt
n=1
(3) f(t)=π/2 -{sint+1/2sin2t+1/3sin3t+1/4sin4t+1/5sin5t}
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1F:推 sbsb:虽然简单 但是爆掉了 04/17 20:25
※ XX9:转录至看板 FCUProblems 01/16 21:07