Find the differentiable function which satisfies the equation \( f(...

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Find the differentiable function which satisfies the equation \( f(x)=-\int_{0}^{x} f(t) \tan t d t+\int_{0}^{x} \tan (t-x) d t \)
\( \mathrm{P} \) where \( x \in(-\pi / 2, \pi / 2) \)

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