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JEE Main & Advanced Mathematics Differential Equations Question Bank Formation of differential equations

  • question_answer
    The differential equation of all straight lines passing through the point  \[(1,\,-1)\]is    [MP PET 1994]

    A)                 \[y=(x+1)\frac{dy}{dx}+1\]             

    B)                 \[y=(x+1)\frac{dy}{dx}-1\]

    C)                 \[y=(x-1)\frac{dy}{dx}+1\]

    D)                 \[y=(x-1)\frac{dy}{dx}-1\]

    Correct Answer: D

    Solution :

                       Since the equation of line passing through (1,?1) is \[y+1=m(x-1)\]                                 Þ \[y+1=\frac{dy}{dx}(x-1)\] Þ \[y=(x-1)\frac{dy}{dx}-1\].


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