UPSC NDA Math Model Paper 1

Getting rid of the radicals by raising both the sides to power 3 will give us:

d2y

dx2

=√1+(

dy

dx

)3
⇒(

d2y

dx2

)2=1+(

dy

dx

)3
The highest derivative in it is

d2y

dx2

, therefore its order is 2 .
And, the highest power of this derivative in the equation is also 2, therefore its degree is also 2 .