Statistics Solutions

[All Steps] Differentiating the Fourier Series of the function f(x) prove that in order to satisfy (d^2f)/(dx^2)+9f(x)=0 the function must satisfy that a_n=0,b_n=0

Question: Differentiating the Fourier Series of the function \(f\left( x \right)\) prove that in order to satisfy

\[\frac{{{d}^{2}}f}{d{{x}^{2}}}+9f\left( x \right)=0\]

the function must satisfy that \({{a}_{n}}=0,{{b}_{n}}=0\) for all \(n\ne 3\)

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