# Extraordinary Differential Equations #12

Calculus Level 4

Consider the differential equation on a series of cosine functions involving $$y=y(x)$$: $\frac{dy}{dx}=\sum_{k=1}^{2017} k\cos{((2k-1)y)}$ where $$y(0)=\dfrac{\pi}{2}$$. Determine the value of $$\dfrac{y(2017)}{\pi}$$.

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