Characteristic Root Technique

In this example we solve a recurrence relation (with initial conditions) using the famed characteristic root technique

[@BillerKee]

You're a legend for making this so clear and concise. Simple, straightforward steps that are easy to understand. If you're still out there, know that you saved another soul from being crushed by a discrete math midterm.

[@namitdhupar9883]

3:05 Jump-Scare Alert

[@alajlan2012]

this is the best explanation had been uploaded on youtube EVER

[@xiaoying1728]

thank you so much! I was so lost reading the long paragraph in my notes and you explained it so clearly!!

[@impstuff6279]

Best resource I've found on this topic, clear, concise, and covers everything. Thank you

[@kkamous7278]

Alots of thanks dear,,,,
You solve my problem,,,
May Allah bless you

[@alex_turing]

Where can I find a proof or explanation of why the technique works

[@hirakmondal6174]

*_He has not shown the case where 2 roots are equal_*
Say for this equation -->> an - 4(an -1) + 4 an-2=0
In this case our roots will be equal, that is we will get 2,2 as our roots..
*_For this case we have a different equation_* --> an=c1(root 1)^n + c2 n (root 2)^n
So for the above given equation the ans will be--->> an = c1 (2)^n + c2 n (2)^n

[@Unarine_Leo]

thanks

[@willvesevick2784]

Life saver

[@gabriel-oc4pt]

It finally clicked together thank you!

[@whatyoulookinfor]

wow you made this look so easy

[@shafikbarah9273]

How can we do
A n = 2A n-¹ _ A n-²
When A¹ = 0 and A² = 62

[@cfltd.1784]

It's 6am and I can't sleep, so now I'm here, for no real reason

[@rapid_xcrement]

jump scare at 3:05, great video but that sound really caught me off guard.

[@savannahpleau8115]

thank you so much! this was very clear. I appreciate it!

[@jennifers6823]

Thank you so much great job

[@ShazNoman]

Thanks for explaining.👍👍
Very informative video!

[@leoniduvarov6565]

Thank you so much for this explanation

[@asselserikbayeva5248]

why 19/7?

[@taljune142010]

Thanks!

[@Chrisymcmb]

Thank you so much!

[@trilliante7732]

This was super helpful!

[@martylobiondo8798]

Very helpful thank you

[@beyazii1]

u are the best

[@sushamakadam5243]

Thank you

[@Iheartneonsparkles]

thanks so much!

[@Wezla]

exceptionally helpful, cause I followed perfectly without sound

[@humanprojecttraining]

THANK YOU

[@arabindakarmakar4120]

You're god man

[@Zorren0808]

Brilliant

[@ナルクロロ]

Damn this is the easiest one i've ever found on ch. roots

[@lucasnascimentosoares94]

3:05 i almost fainted

[@jessstuart7495]

2:20 I was looking for a derivation, not a cookbook formula. Not helpful.

[@johntalon2883]

Ah. Another math major, I suppose?

[@alex_turing]

@@johntalon2883 computer science for me

[@danieltolessa6962]

Thank you

[@weijin1993]

Thank you