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+ The highest derivative in it is
, thereforeits order is 2 .
And, the highest power of this derivative in the equation is 1, therefore its degree is
1.