Differential Equations Question 228

Question: The order and degree of the differential equation $ x{{( \frac{dy}{dx} )}^{3}}+2{{( \frac{d^{2}y}{dx^{2}} )}^{2}}+3y+x=0 $ are respectively

[MP PET 2004]

Options:

A) 3, 2

B) 2, 1

C) 2, 2

D) 2, 3

Show Answer

Answer:

Correct Answer: C

Solution:

Clearly, order of highest derivative = 2 and degree of the highest order derivative = 2
$ \therefore $ order = 2, degree = 2.