The order and degree of the differential equation 1+ 1 ( dy dx )^2 = ( d^2y dx^2 )^ 32 are .

MHT CET 2026 Mathematics question

The order and degree of the differential equation are .

(A)Order 2, Degree 3Correct
(B)Order 2, Degree 2
(C)Order 3, Degree 3
(D)Order 3, Degree 2

Answer: (A)

Solution

Order is the order of the highest derivative present: the highest derivative is , so the order is 2. For the degree, the equation must be a polynomial in the derivatives. Square both sides: . Multiply by to clear the fraction: . Now it is

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Question ID VK-100342