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Maths-

General

Easy

Question

Integrating factor of the differential equation $cos space x fraction numerator d y over denominator d x end fraction plus y sin space x equals 1$ is

$\cos x$
tan x
sec x
sin x

hint Hint:

In the question we have to find the integrating factor of the equation. For this we will first arrange the equation in the form of $fraction numerator d y over denominator d x end fraction plus a y equals b$ and IF = $e to the power of integral a space d x end exponent$ .

The correct answer is: sec x

$G i v e n comma space cos space x fraction numerator d y over denominator d x end fraction plus y sin space x equals 1 rightwards double arrow fraction numerator d y over denominator d x end fraction plus fraction numerator sin x over denominator cos x end fraction y equals fraction numerator 1 over denominator cos x end fraction rightwards double arrow fraction numerator d y over denominator d x end fraction plus tan x space. y equals s e c x I. F equals e to the power of integral tan x space d x end exponent equals e to the power of log space s e c x end exponent equals s e c x$

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