2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Differential Equations

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

  • question_answer
    The order and degree of the differential equation \[y=x\frac{dy}{dx}+\sqrt{{{a}^{2}}{{\left( \frac{dy}{dx} \right)}^{2}}+{{b}^{2}}}\] are

    A)                 1, 2

    B)                 2, 1

    C)                 1, 1         

    D)                 2, 2

    Correct Answer: A

    Solution :

                       Given differential equation can be written as            \[{{y}^{2}}+{{x}^{2}}{{\left( \frac{dy}{dx} \right)}^{2}}-2xy.\frac{dy}{dx}={{a}^{2}}{{\left( \frac{dy}{dx} \right)}^{2}}+{{b}^{2}}\].                                 Hence it is of \[{{1}^{st}}\] order and \[{{2}^{nd}}\]degree differential equation.


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