CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2002

  • question_answer
    Solution of the differential equation\[\frac{dx}{x}+\frac{dy}{y}=0\]is:

    A) \[\frac{1}{x}+\frac{1}{y}=c\]                      

    B)  \[\log x\log y=c\]

    C)  \[xy=c\]                             

    D)  \[x+y=c\]

    Correct Answer: C

    Solution :

    \[\int_{{}}^{{}}{\frac{dx}{x}}\int_{{}}^{{}}{\frac{dy}{y}}=0\] \[\log x+\log y=\log c\] \[xy=c\]


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