Question

The degree of the differential equation \((y'')^2 + (y')^3 = x \sin (y')\) is

(A) 1

(B) 2

(C) 3

(D) not defined

Answer 1

Correct option is (D) not defined

Degree of differential equation is power of highest derivative when the differential equation is in the polynomial form.

As the differential equation is not in the polynomial form where the first order derivative is inside the trigonometric function (sin (y')), the degree is not defined.