The degree of the differential equation is (A) 3 (B) 2 (C) 1 (D) not defined

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Solution

The given equation is ( d 2 y d x 2 )+( dy dx )+sin( dy dx )+1=0.

DEGREE: The degree of a differential equation is the power of the highest order derivatives in the equation.

( d 2 y d x 2 )+( dy dx )+sin( dy dx )+1=0

The given differential equation is not a polynomial equation in its derivatives.

Hence, its degree is not defined.

Hence, the correct option is (D).

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