The differential equation [ 1+ ( dy dx )^2 ( d^2y dx^2 ) ]^ 32 =kx is of

MHT CET 2024 Mathematics question

The differential equation is of

(A)order = 2, degree = 3Correct
(B)order = 3, degree = 2
(C)order = 2, degree = 2
(D)order =3, degree=3

Answer: (A)

Solution

Order is the order of the highest derivative present: is the highest, so order . For the degree, first remove fractional powers and make the equation a polynomial in the derivatives. Squaring gives , i.e.

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Question ID VK-093117