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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2006

  • question_answer
        The integrating factor of the differential equation\[\frac{dy}{dx}+\frac{1}{x}y=3x\]is

    A)  \[x\]                                    

    B)  In \[x\]

    C)  0                            

    D)  \[\infty \]

    Correct Answer: A

    Solution :

                    Given differential equation \[\frac{dy}{dx}+\frac{1}{x}y=3x\] \[\therefore \]  \[IF={{e}^{\int{\frac{1}{x}dx}}}={{e}^{\log x}}=x\]


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