推 sbsb:雖然簡單 但是爆掉了 04/17 20:25
共兩題
Q1.solve the laplace transform of the following periodic function
f1(t)=e^t for 0<t<2 f(t)=f(t+2)
課本習題第四章第39題 P4-51頁
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
課本習題第六章第7題(b) P6-63頁
(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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