Sum of Reciprocal Squares

Calculus Level 3

\[\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+\cdots = \frac{\pi^2}{6}\]

Given the above, find \(N\) that satisfies the equation below.

\[\frac{1}{1^2}+\frac{1}{3^2}+\frac{1}{5^2}+\frac{1}{7^2}+\cdots = \frac{ \pi^2} { N} \]

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