Eigenfunction Eigenvalue Problem

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  • Опубліковано 19 гру 2024

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  • @canyadigit6274
    @canyadigit6274 4 роки тому +60

    The fact that he’s still hearting comments shows that he really cares

    • @BriTheMathGuy
      @BriTheMathGuy  4 роки тому +12

      I try to keep up with the comments. Thanks for watching!

  • @lightningmcdweeb
    @lightningmcdweeb 4 роки тому +23

    Man you out here saving student lives like its NOBODY's business

  • @ishayisrael8101
    @ishayisrael8101 Місяць тому +2

    just go this video recommended, and you're an extremely good teach, why?
    because I've never learned differential equations, and it still made snese. You explain these topics in such a good way, that even me, someone who has no clue in this subject can follow along and understand everystep. You state theorms so well and clear that I went like 'obviously, you reduce it to an auxilary form' when I've never heard that before.
    Kudos, and keep up the good work man!

  • @oliveraherne5547
    @oliveraherne5547 5 років тому +10

    Brilliant, finally found a channel that isn't attempting to be as deadpan as humanely possible. Thanks.

    • @BriTheMathGuy
      @BriTheMathGuy  5 років тому +4

      Thanks very much! Have a great day.

  • @sithabisombokazi2967
    @sithabisombokazi2967 3 роки тому +2

    my guy is giving off some evil genius energy. Thanks for the help

  • @dudeB15
    @dudeB15 4 роки тому +8

    Thank you brother. May all your descendants be blessed

  • @akshatsharma2511
    @akshatsharma2511 4 роки тому +4

    Loved the innovative way of writing on the glass. Informative and helped me for my exams!

  • @iamomegaboss
    @iamomegaboss 5 місяців тому

    This is great. I was just thinking about differential operators, and since I forgot everything from linear algebra, I’m glad I found this fantastic video that breaks it all down!

  • @KeanMartinic
    @KeanMartinic 5 років тому +6

    My man, you did a great job here. Extremely clear explanation. Keep it up!

  • @pappudebnath1349
    @pappudebnath1349 5 років тому +6

    What a wonderful explanation my boss ....I love you...love from India.. you save my life..🥰🥰

    • @BriTheMathGuy
      @BriTheMathGuy  5 років тому +2

      Very glad to help. Have a wonderful day!

  • @BigBlessedCake
    @BigBlessedCake 2 роки тому +1

    My exam is coming up tomorrow,you just saved my butt

  • @Ali-qc3ym
    @Ali-qc3ym 5 років тому +9

    you just gave 15 points in my exam tonight....thank you

    • @BriTheMathGuy
      @BriTheMathGuy  5 років тому +2

      Glad to hear it! Hope it went well.

  • @jiarong293
    @jiarong293 5 років тому +2

    this guys is the best teacher for this problem

  • @georgeluebkeman892
    @georgeluebkeman892 6 років тому +4

    at 2:30 you make lambda less than 0, but then define the characteristic polynomial as r^2 + lambda = 0. Wouldn't it be r^2 - lambda = 0?

    • @oliveraherne5547
      @oliveraherne5547 5 років тому +2

      No, he's substituting lambda in, not minus lambda. He's saying lambda is a minus, not that lambda is being multiplied by a minus.

  • @PedroTechnologies
    @PedroTechnologies 2 роки тому +1

    Amazing video!

  • @Pheosis
    @Pheosis 3 роки тому +1

    take a shot whenever he says 'zero'

  • @jeffbrodhecker2305
    @jeffbrodhecker2305 3 роки тому +1

    By far the best explanation of this topic I could find. Unlike other videos you actually explain it very well and now I feel like I can solve any homework or exam problem because I understand it conceptually. Thank you for this video

  • @Daniel-xt4xt
    @Daniel-xt4xt 4 роки тому +15

    I never comment, but honestly bro the way you explain concepts are perfect. Keep it up!:)

    • @BriTheMathGuy
      @BriTheMathGuy  4 роки тому +4

      Thanks, will do! Hope you have a nice day.

  • @Smittel
    @Smittel 2 роки тому +1

    im 2:33 in and i just now realised that this dude is writing mirrored AMD readable while explaining it. god damn thats impressive, especially since my handwriting isnt even legible when writing normally.

  • @AL-rz5hd
    @AL-rz5hd 5 років тому +3

    The only clear explanation I could find! Thank you so much!!!

  • @JackWagner-qx4wy
    @JackWagner-qx4wy 7 місяців тому +1

    Very Helpful!

  • @rosinamelkum2912
    @rosinamelkum2912 5 років тому +1

    thankyou soo much, you save my life now.. ur explanation makes it soo easy.. am studying for my xams n this helps me a lot.. thankyou soo much

    • @BriTheMathGuy
      @BriTheMathGuy  5 років тому +1

      Very glad to help. Best of luck with your exams!

  • @michaelmemory1761
    @michaelmemory1761 3 роки тому

    Saved my ass in advanced fourier analysis, dude. Thank you!

  • @prod-otto
    @prod-otto 4 місяці тому

    I have my last calculus exam tomorrow and this is a lifesaver, thank you!

  • @borsalinokizaru7382
    @borsalinokizaru7382 9 місяців тому

    Very well explained Brian, thank you.

  • @julimate
    @julimate 2 роки тому +2

    I like the way you explain, also the way you move your mouth is so entertaining

  • @Chetmyr
    @Chetmyr 5 років тому +2

    I have been failing all semester & now I finally understand! thank you

  • @JeroAlmufakir
    @JeroAlmufakir 5 років тому +3

    Got awesome help for tomorrow's exam, thank you!

  • @sairasaira4674
    @sairasaira4674 9 місяців тому

    You explained very well and really helpful.

  • @aryanipallerla930
    @aryanipallerla930 4 роки тому +2

    thank you for such a clear and concise video!

  • @stefnievanrooyen3007
    @stefnievanrooyen3007 4 роки тому +2

    Absolutely brilliant, thank you!!

  • @raymondcheruiyot5811
    @raymondcheruiyot5811 5 років тому +2

    Great work, though i have an issue, at 6:31, you said that lamda is posivitive, right, then i guess you should have ( r squared - lamda) not (r squared + lamda) because ( lamda = + r-squared)

    • @ArchitMoharir
      @ArchitMoharir Рік тому

      R sqaured + lambda comes via the auxiliary equations will not change for a particular equation , in this case y’’ + lambda y, where the auxiliary eqn would be r2 + lambda

  • @amrrelsheikh
    @amrrelsheikh Рік тому

    Thank you very much Brian!

  • @ynz1923
    @ynz1923 5 років тому +10

    thank you but how the hell do you write backwards so well???

  • @real7847
    @real7847 Рік тому

    brah, 1:25 min you already explained everything that my lecture couldn't explain in 50 minutes.

  • @kelcy7815
    @kelcy7815 8 місяців тому

    Thank you so much! This was very helpful

  • @arjeenaansari117
    @arjeenaansari117 3 роки тому +1

    Thanks bro...u explain very calmly that's make us understand...👍

  • @jbarbatano
    @jbarbatano 6 років тому +3

    life saver my man, thank you

  • @sean2558
    @sean2558 3 роки тому

    thanks man! I had troubles understanding this for a while since my profs dont really explain much but now I got it!

  • @sakshyampandey530
    @sakshyampandey530 7 місяців тому

    Thank you for this!

  • @zkchin6640
    @zkchin6640 5 років тому +1

    Very good explaination !! Thank you very much!

    • @BriTheMathGuy
      @BriTheMathGuy  5 років тому +2

      You’re welcome. Have a nice day!

  • @parthpatel7762
    @parthpatel7762 5 років тому +2

    That's very nice but my confusion is what we are doing after finding a eigen function.it should be satisfy orthogonal property or orthonormal........???

  • @郭怡秀-o7b
    @郭怡秀-o7b 3 роки тому

    thank for your video,this really help me a lot

  • @mattmaguire1787
    @mattmaguire1787 4 роки тому +1

    thanks so much man, just subscribed!

  • @utkarshpathak1249
    @utkarshpathak1249 6 років тому +2

    How do you write laterally inverted? Is it some editing or you are actually writing it inverted.

    • @BriTheMathGuy
      @BriTheMathGuy  6 років тому +4

      It is through the magic of video editing :)

    • @jpark4018
      @jpark4018 6 років тому

      i think a "mirror" will do the trick easily. btw, tis a great presentation!!!

    • @rakeshvadnathani8044
      @rakeshvadnathani8044 5 років тому +1

      Mirror Writing... Lol

    • @andreduplessis8384
      @andreduplessis8384 5 років тому

      Just flip the screen after recording easy

  • @akilakavisinghe7189
    @akilakavisinghe7189 6 років тому

    At 5:10: I don't understand what you meant when you said "Both these terms are not equal to zero but I have things multiplied that are equal to zero." Which ultimately results in C1 equaling to zero. Can you clarify this part? I'm still confused.

    • @akilakavisinghe7189
      @akilakavisinghe7189 6 років тому

      Oh I get it now since the right side HAS to equal zero due to the initial value!

    • @BriTheMathGuy
      @BriTheMathGuy  6 років тому +1

      Akila Kavisinghe that’s right! And since I have a product equalling 0, one of them must be 0. (The only possible choice being C1 = 0) I hope this video helped you out!

  • @guymen8
    @guymen8 5 років тому +1

    Dude this is an awesome video!!!

    • @BriTheMathGuy
      @BriTheMathGuy  5 років тому +1

      I really appreciate you saying so! Have an great day!

  • @fishbones92
    @fishbones92 3 роки тому +1

    How do you do it for non zero dirichlet conditions?
    I’ve been looking everywhere

  • @josemariafernandez6450
    @josemariafernandez6450 5 років тому

    6:50, we only use the positive root?

  • @muhammadhussain356
    @muhammadhussain356 2 місяці тому

    Hi! For the lamba

  • @julianvienna6059
    @julianvienna6059 4 роки тому

    Great video, i like how you explain every step

  • @jaygourley1818
    @jaygourley1818 3 роки тому

    Is there an organized list of these Brithemathguy lectures? Google brings up a large disorganized list.

  • @minhhieuphamnguyen8029
    @minhhieuphamnguyen8029 2 роки тому

    Hi, the video is intriguing, however, I am interested in the way you write one the board, how can you do that

  • @ElifArslan-l9g
    @ElifArslan-l9g 2 роки тому

    thank you so much. It was very clear.

  • @KeerthiS-eu4qs
    @KeerthiS-eu4qs 4 роки тому +1

    What if i had the equation like x^2y" + λy = 0....n my λ= 1/4 for some base condition

  • @codyfong317
    @codyfong317 6 років тому +1

    Well explained. Thank you.

  • @vinytheromantica
    @vinytheromantica 3 роки тому

    thanks alot it helped in my exam today

  • @tsalt
    @tsalt Рік тому

    hi is there a quick check to see if the ode will be an eigenvalue problem?

  • @funnyboyroyalty
    @funnyboyroyalty 3 роки тому

    Great video, best one I found!

  • @CollinCarmichael
    @CollinCarmichael 5 років тому +1

    This is a great explaination!

  • @silvertrimhill9844
    @silvertrimhill9844 3 роки тому

    Thanks Man your a life saver

  • @Julie-uy7ei
    @Julie-uy7ei 5 років тому +2

    Thank youuuuuu so much!!

  • @muckleyoftrisfal7838
    @muckleyoftrisfal7838 2 роки тому

    You are EXQUISITE! Thanks a bunch!

  • @jaygourley1818
    @jaygourley1818 3 роки тому

    Nice lecture. It turns up in a Google search, but I don't see it listed in the channel. Why not? Are there other good lectures I don't see?

  • @afj810
    @afj810 6 місяців тому

    Why can we assume an exponential solution? It feels like a cop-out that there is no way to know for certain besides by inspection.

  • @martineggensperger6425
    @martineggensperger6425 3 роки тому

    I had a test today and I think this just saved me

  • @88NA
    @88NA Рік тому

    Thank you so much.

  • @derrickerrick3370
    @derrickerrick3370 2 місяці тому

    Kindly explain on the boundary Conditions,

    • @derrickerrick3370
      @derrickerrick3370 2 місяці тому

      kindly if possible,, explain the meaning of the letters,c2 etc and kindly shed more light on the conditions,,

    • @muhammadhussain356
      @muhammadhussain356 2 місяці тому

      @@derrickerrick3370 c1 and c2 are arbitrary constants

  • @aztecquetzalcatl7757
    @aztecquetzalcatl7757 3 роки тому +1

    Reverse writing skills > reverse driving skills

  • @PElizabeth
    @PElizabeth 3 роки тому

    Thank you so much! This was really helpful :D

  • @Rougarou99
    @Rougarou99 3 роки тому

    Why is the solution different whether you set λ=0 before or after you solve the general case of y''+λy=0?

  • @zachkrauss7577
    @zachkrauss7577 6 років тому +1

    Thank you so much!!

  • @thetimesonseffect7289
    @thetimesonseffect7289 Рік тому

    What is the significance of eigen value in heat equations?

  • @axelrice7422
    @axelrice7422 4 роки тому +1

    this was really good, nice

  • @gusguenther1120
    @gusguenther1120 5 місяців тому

    brilliant thanks

  • @ECEAaronXavierLobo
    @ECEAaronXavierLobo 3 роки тому

    Thank you! Explained very well

  • @harmandeepkaur2629
    @harmandeepkaur2629 4 роки тому

    Hey where can i get more of these questions?

  • @Индрой
    @Индрой 3 роки тому

    for the same thing my professor took an our great content much needed

  • @tumbologist2557
    @tumbologist2557 4 роки тому +1

    The fact that he explained this writing backwards is wild

  • @shuewingtam6210
    @shuewingtam6210 2 роки тому

    For lambda

    • @omerfarukyanklar9545
      @omerfarukyanklar9545 2 роки тому

      Are u sure?
      i have exam tomorrow if you gimme the right answer i will solved this information

  • @simonyuan6559
    @simonyuan6559 2 роки тому

    thanks for saving my final tomorrow

  • @omarrefe460
    @omarrefe460 3 роки тому

    thank you

  • @trippstreehouse
    @trippstreehouse 4 місяці тому

    thank you.

  • @felizwood369
    @felizwood369 2 роки тому

    great explanation

  • @canaryinc
    @canaryinc 3 роки тому

    What if the conditions were y(0) = y(2 pi), dy/dx(0)=dy/dx(2 pi), what would the Eigen Values & Function be?

  • @MSuriyaPrakaashJL
    @MSuriyaPrakaashJL 4 роки тому +1

    You are a lifesaver

  • @mehmet2247
    @mehmet2247 6 років тому +1

    Thanks a lot

    • @BriTheMathGuy
      @BriTheMathGuy  5 років тому +2

      You’re welcome! Have a nice day.

  • @vasachisenjubean5944
    @vasachisenjubean5944 6 років тому +2

    ❤️loved it!!!

  • @alejrandom6592
    @alejrandom6592 6 місяців тому

    Nice video! I thought you'll add up all the solutions tho

  • @randalltonelli1082
    @randalltonelli1082 5 років тому

    y prime denotes dy/dx so the use of t is wrong, it should b x

    • @fancybluepen3489
      @fancybluepen3489 5 років тому

      Well that really depends on what you want the independent variable to be. Whether you use t or x is pretty arbitrary from a pure mathematical standpoint cause they are just symbols we attach to help us describe y being changed with respect to this variable at the end of the day. It doesn't really matter as long as you stay consistent with your math. It only really matters if you are talking from a physics standpoint and usually you would use t cause most of the time, time is your independent variable.

  • @angelaime1621
    @angelaime1621 6 років тому +1

    thanks

  • @petelok9969
    @petelok9969 4 роки тому

    Very Slick the 2n+1 thing Nice! 🙂

  • @ChanellColin
    @ChanellColin 4 роки тому

    Gracias por tanto ❤

  • @pranjaljain4582
    @pranjaljain4582 2 роки тому

    you literary saved me .................

  • @cr6507
    @cr6507 8 місяців тому

    I assume Cn changes for every value of n ?

  • @archianosohliya3436
    @archianosohliya3436 4 роки тому +1

    How is he able to write in reverse order so fluently??

  • @luislopezaguilar7148
    @luislopezaguilar7148 4 роки тому

    thank you very much!. im from chile.

  • @grantstumpf7574
    @grantstumpf7574 3 роки тому

    thats why he's..... THE GOAT, THE GOOAAAAATTTTTT

  • @raccoon3440
    @raccoon3440 Рік тому

    respect for writing all that backward

    • @EnthalpyUplusPV
      @EnthalpyUplusPV 2 місяці тому

      Ive thought about this a lot, im pretty sure the camera flips left to right. So he writes so it looks right to him, it looks like the mirror image on our side of the glass and then the camera mirrors the mirror image, making it look right to us.

  • @dennisluo9513
    @dennisluo9513 6 місяців тому

    Why don’t you have to solve for C2