The order and degree of the differential equation

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.

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