UPSC NDA Math Model Paper 10

Given:
y=x

dy

dx

+(

dy

dx

)−2y =xdx+

1

( dy dx )2

y(

dy

dx

)2 =x(

dy

dx

)3+1
For the given differential equation the highest order derivative is 1.
Now, the power of the highest order derivative is 3.
We know that the degree of a differential equation is the power of the highest derivative.
Hence, the degree of the differential equation is 3.