How to Solve a Second Order Linear Homogeneous Recurrence Relation(Distinct Real Roots Case)

In this video I will show you how to solve a second order linear homogeneous recurrence relation. The problem in this video is the case with distinct real roots.

[THESYRUPKIDD]

Good thing I paid my university tens of thousands of dollars so a guy on YouTube can explain this random set of numbers that doesn't mean anything

[TheMountainBeyondTheWoods]

Finally found a short simple and easy way to understand this, thank you.

[finnthpjac]

I don't usually comment, but this video was so clear and concise and desperately needed while studying for a final. Great work!

[EugeneChei]

Love it. Straight to the point. I was tackling my textbook for ages trying to figure it out. Glad I didn’t give up and looked here!

[eocxes]

Fantastic video my friend. Your love and enthusiasm for math and teaching are very apparent and much appreciated. <3

[MoDiscovery]

I saw over 5 videos everything they did was complicated, but this man right here! He is the best in the bussiness💯

[garydetlefs]

A very nice and simple explanation of a topic that is often buried in highly obtuse treatments. Was recently watching a video on the balancing numbers by Michael Penn who is fantastic but Lord have mercy what a complicated route he took to find a closed formula for a similar sequence with signature 6 - 1 and starting terms of 1 and 6. The oeis contains thousands of these sequences which are all indexed

[jonathanliang]

Thanks man, you are an absolute LIVE AND ACADEMIC CAREER SAVER!

[whiterice]

Thank you so much, I've spent all day trying to figure this out without success and your video managed to teach me in under 6 minutes. Thank you so much

[chiranjivishahi]

Can't believe it my teacher write answers in two page 😂 and you solve this in one page hats off sir ❤

[jadzein]

Living Legend didnt understand a thing from my professor. This is super helpful and it only took me 6 minutes to understand. THANK

[nargisrafie]

You are the best <3 I finally understood how to solve it!!!

[enkhnyambattulga]

This is absolutely amazing. I've been trying to understand this topic and been looking all over that internet and all of the recorded lectures of last years and I was just really struggling because my exam was in 2 days. This helped!!!

[theblue]

you're a life saver, thanks so much

[garcia]

Thank you so much!!! From the pattern that you have written, when a_n = x^2 and a_(n-1) = x and a_(n-2) becomes the constant, it means that a_(n+1) = x^3 and a_(n+2) = x^4 and so on! That solved the problem I am working on right now. Really really thank you!! I wish I could meet you in person and give you a big hug!

[asma]

omg you saved my life! thanks a lot for the simple and clear explanation

[Fidohn]

This video was really helpful understanding this topic. I’m burning through my discreet mathematics book doing self and study and sometimes. I wonder when and why a topic like this is important to know. In essence I wish to know some of it applications to real problems. Cheers.

[PBlague]

This is soo satisfying! Awesome video!

[georgettebeulah]

This make so much sense and meaning and can relate to it a lot and understand a lot from it. Thank you.

[aylinmousavian]

Wow, Awesome, I like your way of teaching, Thanks