討論串[理工] [工數]-傅立葉級數
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0 - 1. 令z(t) = ─────t +1 = -t+1 修邊界. 1. 令x(t) = y(t) + z(t) = y -t +1. x(0) = y (0) + 1 = 1 y(0) = 0. x(1) = y (1) -1 +1 = 0. y" + 4y - 4t + 4 = 4t. y
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.1.find a formal fourier series solution of the endpoint value problem. x"+4x=4t x(0)=1 x(1)=0. n+1. ∞ 1 4(-1). 答案 x=2Σ --------- [-------- - nπ] sin
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2. 2.a Uxx -x =Utt 0<x<1 t>0 U(0,t)=0 U(1,t)=V. U(x,0)=Ut(x,0)=0. (1). let U=W(x,t)+q(x). a^2Wxx+a^2q''-x=Wtt. a^2Wxx=Wtt. W(0,t)=0 W(1,t)=0. {W(x,0)=
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1.find a formal fourier series solution of the endpoint value problem. x"+4x=4t x(0)=1 x(1)=0. n. ∞ 1 4(-1). 答案 x=2Σ --------- [-------- - nπ] sin nπt
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