Differential Equations Question 163

Question: The differential equation $ \frac{d^{2}y}{dx^{2}}+x\frac{dy}{dx}+\sin y+x^{2}=0 $ is of the following type

[Roorkee 1998]

Options:

A) Linear

B) Homogeneous

C) Order two

D) Degree one

Show Answer

Answer:

Correct Answer: C

Solution:

Given $ \frac{d^{2}y}{dx^{2}}+x.\frac{dy}{dx}+\sin y+x^{2}=0 $

The order of highest derivative = 2 and degree = 1.