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JEE Main & Advanced Mathematics Differential Equations Question Bank Linear defferential equations

  • question_answer
    Integrating factor of differential equation \[\cos x\frac{dy}{dx}+y\sin x=1\]is              [MP PET 1996]

    A)                 \[\cos x\] 

    B)                 \[\tan x\]

    C)                 \[\sec x\] 

    D)                 \[\sin x\]

    Correct Answer: C

    Solution :

                       \[\frac{dy}{dx}+y\tan x=\sec x\]                 I.F. \[={{e}^{\int_{{}}^{{}}{\tan x\,dx}}}={{e}^{\log \sec x}}=\sec x\]


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