The order and degree of the differential equation 2 + ( d^2y dx^2 )^3 = ( d^3y dx^3 )^ 5/2 respectively are

MHT CET 2026 Mathematics question

The order and degree of the differential equation respectively are

(A)2, 3
(B)3, 5Correct
(C)3, 2
(D)5, 3

Answer: (B)

Solution

Order is the order of the highest derivative present: here , so the order is . For the degree, first make the equation a polynomial in the derivatives by removing the fractional powers: squaring both sides gives . The degree

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Question ID VK-096296