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Beyond Linear DEs

Calculus Level 2

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

\[\dfrac{3}{16}\pi\left(3\pi+4\right)\] \[\dfrac{3}{16}\pi\left(4-3\pi\right)\] \[-\dfrac{3}{16}\pi\left(3\pi+4\right)\] \[\dfrac{3}{16}\pi\left(3\pi-4\right)\]

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by Digvijay Singh

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