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  • Integrating factor of the differential equation dy/dx + y tan x – sec x = 0 (a) Cos x

Integrating factor of the differential equation  \mathrm{dy} / \mathrm{dx}+\mathrm{y} \tan \mathrm{x}-\sec \mathrm{x}=0
(a) \operatorname{cos} x
(b) \sec x
(c) e^{\cos x}

(d) e^{\sec x}

Answers (1)

The answer is the option (b) Sec x

Explanation: -

\text { On comparing it with } \frac{d y}{d x}+P y=Q, \text { we get }

\\ P=\tan x, Q=\sec x \cdot \\\\ \text { I.F. }=e^{\int P d x}=e^{\int \operatorname{tan} x d x}=e^{(\log sec x)}=\sec x

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