Is Order and Degree of Recurrence Relation implies the same thing?

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I got confused in a very basic concept while reading Kenneth H Rosen's Discrete Mathematics

Kenneth H Rosen When I searched that on internet I get more confused

I got https://math.berkeley.edu/~arash/55/8_2.pdf

from https://math.berkeley.edu/~arash/55/8_2.pdf

And this **https://www.tutorialspoint.com/discrete_mathematics/discrete_mathematics_recurrence_relation.htm**

from https://www.tutorialspoint.com/discrete_mathematics/discrete_mathematics_recurrence_relation.htm

Is Order and Degree of Recurrence Relation implies the same thing?