JEE Main & Advanced Mathematics Differential Equations Question Bank Order and degree of differential equations

  • question_answer
    The degree and order of the differential equation of the family of all parabolas whose axis is x?axis, are respectively [AIEEE 2003]

    A)                 2, 1         

    B)                 1, 2

    C)                 3, 2         

    D)                 2, 3

    Correct Answer: B

    Solution :

                       \[{{y}^{2}}=\pm 4a(x-h)\]            Þ \[2y\,{{y}_{1}}=\pm 4a\] Þ \[y{{y}_{1}}=\pm 2a\] Þ \[y_{1}^{2}+y{{y}_{2}}=0\]                                 Hence degree = 1, order = 2.


You need to login to perform this action.
You will be redirected in 3 sec spinner