Question
Solve the following differential equations : $\left(1+y^2\right) d x=\left(\tan ^{-1} y-x\right) d y$
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$e^{4 x} \cdot \cos 5 x$
$\int_0^{\pi / 4} \frac{\cos 2 x}{1+\cos 2 x+\sin 2 x} d x$