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12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-2

  • question_answer
    The order and degree of the differential equation \[{{\left( 1+3.\frac{dy}{dx} \right)}^{\frac{1}{3}}}=4.\frac{{{d}^{3}}y}{d{{x}^{3}}}\]are:

    A)  \[\left( 1,\frac{3}{2} \right)\]                  

    B)  \[\left( 3,3 \right)\]         

    C)  \[\left( 3,4 \right)\]                     

    D)  \[\left( 2,2 \right)\]

    Correct Answer: B

    Solution :

    [b]  \[\because \] Given differential equation is \[{{\left( 1+3.\frac{dy}{dx} \right)}^{\frac{1}{3}}}=\left( 4.\frac{{{d}^{3}}y}{d{{x}^{3}}} \right)\,\,\Rightarrow 1+3.\frac{dy}{dx}={{\left( 4.\frac{{{d}^{3}}y}{d{{x}^{3}}} \right)}^{3}}\] Now, Order of D.E. =3 Degree of D.E. =3 Hence, option [b] is correct.


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