The degree of the differential equation d^ 2 y dx^ 2 +3 ( dy dx )^ 2 =x^ 2 ( d^ 2 y dx^ 2 ) is

MHT CET 2025 Mathematics question

The degree of the differential equation is

(A)1
(B)2
(C)3
(D)Not definedCorrect

Answer: (D)

Solution

Degree is defined only when the differential equation can be written as a polynomial in the derivatives. Here the highest-order derivative appears inside a logarithm, , and a log of a derivative cannot be expressed as a polynomial in the

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Question ID VK-102301