UPSC NDA Math Model Paper 8

Given differential equation is
(

d2y

dx2

)2+(

dy

dx

)3−yx=0
Here x is the independent variable
y is the dependent variable
Highest derivate is

d2y

dx2

So, the order of the given differential equation = 2
The power of the highest derivate = 2
So, the degree of the given differential equation = 2
As the power of derivate is 2 it is non-linea