Recurrence Relations Part 6 Real and Repeated Roots Using Method of Characteristic Roots

Here I have given the basic theory need to solve the repeated roots case and solved one example on recurrence relations in which the root is repeated two times , using Method of Characteristic roots.
One Practice problem is also given to build your confidence.

[jackrubin]

Brilliant. You’ve enlightened a 65 year old.

[tiwaryanjali]

Can you prove the concept in the first line I didn't understand why n multiplied at beginning of alpha^n-1

[ma]

Can you please share the answers to the practice questions as well so we can know if we are correct or not.

[arshadkhanofficial]

Sir i well say topic then you upload youtube i all student see the topic on youtube