Beyond Linear DEs

Calculus Level 2

Given that y=f(x),dydx=x4+y2,y=f(x), \frac{dy}{dx}=x^{-4}+y^2, and f(1π)=π,f\big(\frac{1}{\pi}\big)=-\pi, find f(43π).f\big(\frac{4}{3\pi}\big).

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