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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    The integrating factor of the differential equation\[\cos x\left( \frac{dy}{dx} \right)+y\sin x=1\]is:

    A)  \[cos\text{ }x\]               

    B)         \[tan\text{ }x\]

    C)  \[sin\text{ }x\]                

    D)         \[cot\text{ }x\]

    E)  \[sec\text{ }x\]

    Correct Answer: E

    Solution :

    The given differential equation can be rewritten as \[\left( \frac{dy}{dx} \right)+y\frac{\sin x}{\cos x}=\frac{1}{\cos x}\] \[\therefore \]If\[={{e}^{\int{\frac{\sin x}{\cos x}dx}}}={{e}^{\log x\sec x}}=\sec x\]


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