Concept: Order of a differential equation is the highest order of derivative that occurs in the differential equation. Degree of a differential equation is the highest power of the highest order derivative that occurs in the equation, after all the derivativesare converted into rational and radical free form. Calculation: Getting rid of the radicals by raising both the sides to power 2 will give us: x2=1+‌
d2y
dx2
The highest derivative in it is ‌
d2y
dx2
, thereforeits order is 2 . And, the highest power of this derivative in the equation is 1, therefore its degree is 1.