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(A) The given differential equation is of the form $\frac{dy}{dx} + Py = Q$,where $P = \sec x$ and $Q = 	an x$.First,we find the Integrating Factor $

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$y(\sec x + 	an x) = \sec x + 	an x - x + C$

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(A) The given differential equation is of the form $\frac{dy}{dx} + Py = Q$,where $P = \sec x$ and $Q = 	an x$.First,we find the Integrating Factor $(I.F.)$:$I.F. = e^{\int P dx} = e^{\int \sec x dx} = e^{\ln|\sec x + 	an x|} = \sec x + 	an x$.The general solution is given by $y(I.F.) = \int (Q 	imes I.F.) dx + C$.Substituting the values:$y(\sec x + 	an x) = \int 	an x(\sec x + 	an x) dx + C$$y(\sec x + 	an x) = \int (\sec x 	an x + 	an^2 x) dx + C$$y(\sec x + 	an x) = \int \sec x 	an x dx + \int (\sec^2 x - 1) dx + C$$y(\sec x + 	an x) = \sec x + 	an x - x + C$.

Find the general solution of the differential equation:
$\frac{dy}{dx} + (\sec x)y = \tan x$,where $0 \le x \le \frac{\pi}{2}$.

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Find the general solution of the differential equation:$\frac{dy}{dx} + (\sec x)y = \tan x$,where $0 \le x \le \frac{\pi}{2}$.