Question:
The order and degree of the differential equation respectively, are
$\frac{d^{2} y}{d x^{2}}+\left(\frac{d y}{d x}\right)^{\frac{1}{4}}+x^{\frac{1}{5}}=0$
(A) 2 and not defined
(B) 2 and 2
(C) 2 and 3
(D) 3 and 3
Solution:
Correct option is (A) 2 and not defined.
Given differential equation is
As the degree of dy/dx is in fraction its undefined and the degree is 2.