Reduction of Order - Why It Works

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Reduction of Order - Why It Works. In this video, I give a proof / justification of the reduction of order method. This method says that if we have one known solution, we can use this method to find another solution to our second order differential equation.

Пікірлер: 30

  • @patrickjmt
    @patrickjmt11 жыл бұрын

    my pleasure about sharing the bit of things i (re)learn! thanks for recommending me to your friends, i appreciate it.

  • @UthmanHamit_u_th_man_dammit
    @UthmanHamit_u_th_man_dammit9 жыл бұрын

    This explanation saved me big time! thanks Patrick!

  • @sky1004v
    @sky1004v11 жыл бұрын

    thank you very much for sharing your knowledge. this helped a lot and keep up your good work :) I will recommend you to all my friends!

  • @eggbread5534
    @eggbread55348 жыл бұрын

    Rip all EarTeliphone user at 5:16!!

  • @robjones2525
    @robjones25258 жыл бұрын

    Wonderful! Now I can understand the technique. Thank you.

  • @vastopa
    @vastopa11 жыл бұрын

    looked for this a week ago and was hoping to find a video of it and voila, now you have one!! you're a saviour man. I tell everyone in UBC engineering about you. If this degree pays off, I'll be sending you some dolla dolla bills! haha

  • @takudzwamukura7172

    @takudzwamukura7172

    4 жыл бұрын

    Did you send him some dolla bills?

  • @BeePan2
    @BeePan211 жыл бұрын

    LOL are you spying on my life? Prof just taught this yesterday at university. LOL thanks!

  • @alanjerdan
    @alanjerdan11 жыл бұрын

    i was just in my calc 2 class today and told them to check out jmt too!

  • @xqt39a
    @xqt39a6 жыл бұрын

    Thanks ! great explanation

  • @canadianthroneholder
    @canadianthroneholder9 жыл бұрын

    Proof was very helpful, thanks

  • @Asalashjari
    @Asalashjari5 жыл бұрын

    I hope you’re rich. I’ll send you my diploma when I graduate.

  • @serden8804

    @serden8804

    3 жыл бұрын

    what he will do with your diploma, if you're appreciated then donate some money. who fucks a diploma

  • @michaelkosmider5514
    @michaelkosmider55146 жыл бұрын

    best explanation out there

  • @abdelrahmangamalmahdy
    @abdelrahmangamalmahdy10 жыл бұрын

    I love your mind , really

  • @SydneyBorn04
    @SydneyBorn043 жыл бұрын

    Anybody can explain how y=v*y1 was conceived? How can one arrive at the idea that the second solution is just equal to the first solution multiplied by a function of x? Any proof on that? Intuition?

  • @andrewl5267
    @andrewl52676 жыл бұрын

    Can absolute values be ignored in problems like these? If so, why?

  • @phoreal22
    @phoreal229 жыл бұрын

    why isnt this on your site?

  • @kendyluu
    @kendyluu9 жыл бұрын

    Can you find the particular solution from this problem, y''+6y'+9y=x^(3)e^(2x)+3xe^(x)sinx+6cosx+3 ? Thank you!

  • @patrickjmt
    @patrickjmt11 жыл бұрын

    thanks!! :)

  • @drewpasttenseofdraw
    @drewpasttenseofdraw11 жыл бұрын

    Power series solution....you can do it.

  • @henryjunior38
    @henryjunior3811 жыл бұрын

    I am taking differential equations. In the textbook, each type of differential euqation is grouped in its own section. In the exam, there will be no sections, the equations will be mixed up. How can I determine which type of differential equation it is so I can use the appropriate solution method? For ex, subsitution, linear, exact equations, separable variables.

  • @TraeHall
    @TraeHall6 жыл бұрын

    How did I even get here? FML

  • @DrAshwinRenganathan
    @DrAshwinRenganathan8 жыл бұрын

    I don't think you really reduced the order of the existing equation. You merely substituted the first derivative by a variable and hence you got a 1st order ODE. What if I want to retrieve the final solution in terms of un-transformed variables? - I would have to integrate the equation twice.

  • @MMarcuzzo
    @MMarcuzzo11 жыл бұрын

    I knew this method by tom apostol calculus book. But I used on ordinary differential equations the Boyce-Diprima book, which doesnt show this method.

  • @Monadoabyss
    @Monadoabyss11 жыл бұрын

    Isn't this just the Wronskian method?

  • @lluvank
    @lluvank11 жыл бұрын

    So many unknowns

  • @3MM4NU37
    @3MM4NU378 жыл бұрын

    you didn't solve it!!! aughhh!!!

  • @idreesk93

    @idreesk93

    5 жыл бұрын

    Rest of solution google, “nagel differential equations solutions slader” it will be problem 50 in section 4.7

  • @MoronicAcid1
    @MoronicAcid16 жыл бұрын

    >Homogenous >Not homogeneous k