The order and degree of the differential equation ( d^3y dx^3 )^ 23 -3 d^2y dx^2 +5 dy dx +4=0 are respectively

MHT CET 2026 Mathematics question

The order and degree of the differential equation are respectively

(A)2, 3
(B)3, 2Correct
(C)3, not defined
(D)not defined, 3

Answer: (B)

Solution

The order is the order of the highest derivative present: , so order . For the degree, the equation must first be made a polynomial in the derivatives. Isolate the fractional power: . Cube both sides:

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Question ID VK-101700