The order and degree of the differential equation dy dx -4 dy dx -7x=0 is respectively

MHT CET 2025 Mathematics question

The order and degree of the differential equation is respectively

(A)1, 2Correct
(B)2, 1
(C)2, 2
(D)3, 1

Answer: (A)

Solution

The highest derivative present is , so the order is . To find the degree, make the equation a polynomial in the derivatives: write , then . Squaring removes the radical:

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Question ID VK-102570