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If $ \cos x $ is an integrating factor of the differential equation $\large\frac{dy}{dx}$$+Py=Q$ then $P$=

\[\begin{array}{1 1}(1)-\cot x&(2)\cot x\\(3)\tan x&(4)-\tan x\end{array}\]

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Given integrating factor $=\cos x$
then $P= \large\frac{\Large\frac{d}{dx}(\cos x)}{\cos x}$
$\qquad= \large\frac{- \sin x}{\cos x}$
$\qquad= -\tan x$
Hence 4 is the correct answer.
answered May 21, 2014 by meena.p
 
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