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

  • question_answer
    Integrating factor of \[\frac{dy}{dx}+\frac{y}{x}={{x}^{3}}-3\]is              [MP PET 1999]

    A)                 \[x\]        

    B)                 \[\log x\]

    C)                 \[-x\]       

    D)                 \[{{e}^{x}}\]

    Correct Answer: A

    Solution :

                    I.F. \[={{e}^{\int_{{}}^{{}}{p.dx}}}\]Þ     \[{{e}^{\int_{{}}^{{}}{\frac{1}{x}dx}}}={{e}^{{{\log }_{e}}x}}=x\].


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