a) Using Parseval's Identity for Fourier series of $f(x) = x^2$ in $(…

Question

a) Using Parseval's Identity for Fourier series of $f(x) = x^2$ in $(-\pi, \pi)$ prove that $\sum \frac{1}{n^4} = \frac{\pi^4}{90}$.

b) Using power series method, solve Legendre's differential equation of order 3.

Related pages

• Parseval's Formula — topic
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