For the differential equation [1- ( dy dx )^ 2 ]^ 3 =8 d^ 2 y dx^ 2 has the order and degree _____ respectively

MHT CET 2022 Mathematics question

For the differential equation has the order and degree respectively

(A)2 and 1Correct
(B)2 and 3
(C)2 and 6
(D)2 and 2

Answer: (A)

Solution

Order is the order of the highest derivative present: the highest derivative is , so the order is . Degree is the power of the highest-order derivative once the equation is written as a polynomial in the derivatives. Here the equation is

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Question ID VK-093883