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anonymous
 5 years ago
Let
f(x)=2−x 0≤x≤2, 2+x −2≤x≤0.
a. Compute the Fourier coefficients of f(x) for −2 ≤ x ≤ 2.
b. Solve the initialboundary value problem,
utt= 4uxx, 0≤x≤2,
u(0,t)=0, u(2,t)=0,
u(x,0)=f(x),
ut(x,0)=0
Express the solution as a Fourier series.
anonymous
 5 years ago
Let f(x)=2−x 0≤x≤2, 2+x −2≤x≤0. a. Compute the Fourier coefficients of f(x) for −2 ≤ x ≤ 2. b. Solve the initialboundary value problem, utt= 4uxx, 0≤x≤2, u(0,t)=0, u(2,t)=0, u(x,0)=f(x), ut(x,0)=0 Express the solution as a Fourier series.

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0derivate f(x) then the function will be in constant so could be easily integrable with e^jkwt. after wards multiply the answer with 1/jwk

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I don't think so. The question asked for Fourier coefficient.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0derivative in t domain equals multiplying with 1/jwk in k domain
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