Reduction of Order - Linear Second Order Homogeneous Differential Equations Part 1

This video explains how to apply the method of reduction of order to solve a linear second order homogeneous differential equations.
Site: mathispower4u

Пікірлер: 66

  • @sneakystalker
    @sneakystalker9 жыл бұрын

    Finally someone with nice handwriting and good quality video! Thanks!

  • @LexTVi
    @LexTVi8 жыл бұрын

    Thanks for explaining why you're doing each step! So helpful. :)

  • @SigmaLiving
    @SigmaLiving8 жыл бұрын

    I use so many of your videos for references! thank you so much! keep on doing what you're doing :)

  • @SigmaLiving

    @SigmaLiving

    8 жыл бұрын

    I also love you inspirational quotes at the end of the videos!

  • @AlanMedina314
    @AlanMedina31411 жыл бұрын

    Thanks for the video it helped me plenty. When you watch this video and the one involving the shortcut method you appreciate why the shorter method is much more convenient.

  • @jameyatesmauriat6116
    @jameyatesmauriat6116 Жыл бұрын

    Thank you so much.Why have you assumed C2 to be 1?

  • @jacksonroy8720
    @jacksonroy8720 Жыл бұрын

    Love that the problem can also be solved using the Euler-Cauchy method, helped piece together in my mind the relation between the two!

  • @RAlishaSMECS

    @RAlishaSMECS

    Жыл бұрын

    BUT I AM NOT GETTING to connect them could you just explain

  • @megapod7930
    @megapod79303 жыл бұрын

    Thankyou so much. I just went over this in my advanced applied math class and was so lost. This video helped a lot.

  • @MonAcoustic
    @MonAcoustic11 жыл бұрын

    Thank you. It's nice and simple but very informative!

  • @mg1881
    @mg18812 жыл бұрын

    I was getting lost in my textbook because it skips so many steps. This video finally helped me understand this procedure!

  • @QuinnSlattery
    @QuinnSlattery4 жыл бұрын

    Really helpful as always, thank you!!!

  • @khemrajchaulagai6855
    @khemrajchaulagai68552 жыл бұрын

    thank you for your great work .i understand it numerical more clearly

  • @bossross954
    @bossross9545 жыл бұрын

    Very helpful. Thank you so much!

  • @Gilly1403
    @Gilly140311 жыл бұрын

    many thanks :) great video. so helpful!

  • @maxbrat8087
    @maxbrat808710 жыл бұрын

    love ur stuff

  • @Skp518
    @Skp5185 ай бұрын

    you told at the beginning of the example that we assume second solution as y = u * y1 but after finding y you treat it as general solution. I couldn't get that. Shouldn't that total expression be the second solution? Because we assumed it as so first.

  • @ellafergus6059
    @ellafergus605910 жыл бұрын

    Thank you! Really helpful :)

  • @0525tharindu
    @0525tharindu11 жыл бұрын

    very helpful, clearly explained

  • @frijutt6123
    @frijutt61233 жыл бұрын

    Many many thanks😍...soo helpful

  • @coversbyambz2619
    @coversbyambz26197 жыл бұрын

    thanks u have solved my issue..

  • @akshatsandhaliya5753
    @akshatsandhaliya57538 жыл бұрын

    can you please tell which stylus do you use to make videos

  • @Vikrampratapmaurya
    @Vikrampratapmaurya3 жыл бұрын

    Love u sir...❤️❤️❤️ God bless u🙏🙏

  • @zaeny
    @zaeny11 жыл бұрын

    very helpful video thank you :)

  • @sheepsong5681
    @sheepsong5681 Жыл бұрын

    Amazing,thank you!!!

  • @reubenwilliammpembe667
    @reubenwilliammpembe6675 жыл бұрын

    thank you Sir you are the best!!!! #ResepectFromSouthAfrica

  • @SaraidaCecilia
    @SaraidaCecilia9 жыл бұрын

    Honestly I think I might love you. Thank you.

  • @patricklupiya9688
    @patricklupiya968810 жыл бұрын

    when you integrated w and x,and added the Ln to only w and x it would have been simpler if you add the ln to the c as well then grouped in this form Ln(c/x) then canceled the Lns with e.

  • @cihangirzulfikar1793
    @cihangirzulfikar179311 жыл бұрын

    Could you upload a video on laplace transform pls

  • @christosgeorgakis
    @christosgeorgakis7 жыл бұрын

    Since power of x is the same as order of derivatives, couldn't we have used Cauchy-Euler?

  • @sandorfogassy3007
    @sandorfogassy30077 жыл бұрын

    Thanks!

  • @vijaysinghchauhan7079
    @vijaysinghchauhan7079 Жыл бұрын

    in 10 minutes he explained the concept in an easily digestible way.

  • @aladdinkayqubad1645
    @aladdinkayqubad16453 жыл бұрын

    Thank you Sir!

  • @aneesak7365
    @aneesak73654 жыл бұрын

    Thanks brother 👊

  • @ssssssssssurvey
    @ssssssssssurvey10 жыл бұрын

    really useful

  • @jonathanrawlinson468
    @jonathanrawlinson4689 жыл бұрын

    Thanks!! :D

  • @anthonyover
    @anthonyover3 жыл бұрын

    THANK YOU!!!

  • @parmeshwarkotnur
    @parmeshwarkotnur3 жыл бұрын

    In this method we must have one solution to ODE to find another solution, so if we have one solution for a given ODE the why are we finding another solution ?

  • @LittledudeJrr
    @LittledudeJrr8 жыл бұрын

    What is the difference between this and an euler ODE? Just what is being asked?

  • @ToddHowes

    @ToddHowes

    8 жыл бұрын

    +Lelouche DFO The difference is Euler's method will give you exponential solutions instead of a natural log solution.

  • @francofayzo4644
    @francofayzo46442 жыл бұрын

    U the best👊🇷🇼

  • @sumayyakamal8857
    @sumayyakamal88573 жыл бұрын

    what does second solution literally mean?

  • @isaacneterosmiddlefinger186
    @isaacneterosmiddlefinger1868 жыл бұрын

    For this example, you can also find the indicial equation. Takes a lot less time.

  • @HarshitDwivedi-pz2ny
    @HarshitDwivedi-pz2ny6 жыл бұрын

    Thanks

  • @Yo-ru8ch
    @Yo-ru8ch Жыл бұрын

    Why can we assume y2=u(x)*y1? :P

  • @eggxecution
    @eggxecution4 жыл бұрын

    it's almost okay, I just dont get the last part where you get the second solution

  • @mg1881

    @mg1881

    2 жыл бұрын

    Think of the line at the bottom being the general solution y = ysub1(x) + ysub2(x). The goal is to find ysub2(x), and that's one of the terms in the general solution.

  • @jammy2003
    @jammy20036 жыл бұрын

    Why doesn't the second solution include C1(x^2)?

  • @jammy2003

    @jammy2003

    6 жыл бұрын

    Nvm I got it. x^2 is already the given solution.

  • @Lite619
    @Lite61911 жыл бұрын

    Who would you solve an similar equation like this one but if it didn't contain q(x)y'?

  • @anuragdewangan8248
    @anuragdewangan8248 Жыл бұрын

    thank you sir

  • @Mathispower4u

    @Mathispower4u

    Жыл бұрын

    Thank you for your comment.

  • @xevihc8519
    @xevihc85194 ай бұрын

    answer is still wrong according to my online assignment smh, they always want it in some specific format

  • @Fredo10
    @Fredo105 жыл бұрын

    im confused on how you found the second solution

  • @abdulmuqeet9961

    @abdulmuqeet9961

    Жыл бұрын

    did you get the answer?

  • @charlesbudu-gizo5039
    @charlesbudu-gizo50397 жыл бұрын

    good

  • @seifdeiab
    @seifdeiab11 жыл бұрын

    what! no quote?!?!?

  • @AJ-fo3hp
    @AJ-fo3hp11 ай бұрын

    What is homogeneous here? I did not understand the term homogeneous aspects here. What exactly homogeneous here? How exactly homogeneous here? Why it is homogeneous differential equations?

  • @Mathispower4u

    @Mathispower4u

    11 ай бұрын

    I hope this helps. kzread.info/dash/bejne/dq2E1ZKdesjYYJc.htmlsi=HyUgl_jE3gJu5BYQ

  • @imQuark
    @imQuark10 жыл бұрын

    The given equation I had in my exam was (e^x)/x ...

  • @laurav.4644
    @laurav.46442 жыл бұрын

    10:11 Oh, you bet it was!

  • @feiwu6040
    @feiwu604011 жыл бұрын

    was hoping for a quote at the end =/

  • @mhammedheddoun6830
    @mhammedheddoun68304 жыл бұрын

    Important

  • @Dintathomas
    @Dintathomas2 жыл бұрын

    when non homogeneous equation is given what we do

  • @aneesak7365
    @aneesak73654 жыл бұрын

    Ok

  • @camilacaceres8885
    @camilacaceres888510 ай бұрын

    No bc why did math kinda eat with the reduction of order, I was mind blown