For the differential equation d^3y dx^3 + ( d^2y dx^2 )=0, which of the following is true?

MHT CET 2026 Mathematics question

For the differential equation , which of the following is true?

(A)Order = 3, degree = 1
(B)Order 3, degree = 2
(C)Order = 3, degree is not definedCorrect
(D)Order = 2, degree is not defined

Answer: (C)

Solution

The highest order derivative is , so the order is 3. Degree is defined only when the equation is a polynomial in the derivatives. Here is a trigonometric (transcendental) function of the derivative

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Question ID VK-099152