f(x) = + [(-1)¹+1] n² + 1 n=1 Write the Fourier Sine expansion of sin(nx). -.7uxx = f(x) 0 0 u(0,t) = 0 u(n,t)=0

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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5. Suppose that f(x) has the following Fourier Sine Expansion
f(x) = + Σ
n=1
Write the Fourier Sine expansion of
-.7uxx = f(x)
(−1)n +1]
n² + 1
sin (nx).
0<x<n, ti > 0
u(0, t) = 0 u(π, t) = 0
Transcribed Image Text:5. Suppose that f(x) has the following Fourier Sine Expansion f(x) = + Σ n=1 Write the Fourier Sine expansion of -.7uxx = f(x) (−1)n +1] n² + 1 sin (nx). 0<x<n, ti > 0 u(0, t) = 0 u(π, t) = 0
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