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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2013

  • question_answer
        The degree of the differential equation\[y_{2}^{3/2}-y_{1}^{1/2}-4=0\]is

    A)  6                                            

    B)  3

    C)  2                                            

    D)  4

    Correct Answer: A

    Solution :

                    Given,     \[y_{2}^{3/2}=y_{1}^{1/2}+4\] Squaring on both sides, we get \[y_{2}^{3}={{y}_{1}}+16+8y_{1}^{1/2}\] \[\Rightarrow \]               \[{{(y_{2}^{3}-{{y}_{1}}-16)}^{2}}=64{{y}_{1}}\] \[\Rightarrow \] \[y_{2}^{6}-32y_{2}^{3}-2y_{2}^{3}.{{y}_{1}}+y_{1}^{2}-32{{y}_{1}}+256=0\] Hence, the degree of the given equation is 6.


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