Question:
The degree of the differential equation
$\left(\frac{d^{2} y}{d x^{2}}\right)^{2}+\left(\frac{d y}{d x}\right)^{2}=x \sin \left(\frac{d y}{d x}\right)$ is:
(A) 1
(B) 2
(C) 3
(D) not defined
Solution:
Correct option is (D) not defined.
Since the value of sin (dy/dx) on expansion will be in increasing power of dy/dx, the degree of the given differential equation is not defined.