25 thoughts on “Euler’s Method | MIT 18.03SC Differential Equations, Fall 2011

  • January 6, 2013 at 2:50 am
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    this makes my day ….

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  • January 17, 2013 at 1:06 am
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    awesome

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  • February 14, 2013 at 8:47 pm
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    Fantastic instruction, cameraman is a little zoom-happy though… The resolution of the video is plenty good, no need for close-ups. I'd rather see more of the board at a time.

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  • February 21, 2013 at 1:19 am
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    Had the chance of having this teacher for Cal 3 at McGill =) He's awesome, he definetly likes teaching. He'd prepare a engineering-related joke every Friday class =) and he dressed up as an integral for Halloween! Thumbs up David!

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  • May 1, 2013 at 11:13 pm
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    Perfect…

    I understood it perfectly…

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  • May 2, 2013 at 2:00 am
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    this is perfect and just in time for my calc ap exams!

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  • June 18, 2013 at 7:02 pm
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    His pauses are funny.

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  • August 13, 2013 at 11:11 pm
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    It works! Thank you 😀

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  • October 26, 2013 at 1:14 pm
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    Great lecture!

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  • December 11, 2013 at 11:47 pm
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    good job thank you!

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  • December 28, 2013 at 4:43 pm
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    Finally I Got it !! .. Thanks from middle east 

    u helped alot on my Final Applied math exam 

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  • November 15, 2015 at 6:03 pm
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    thank u soo much bro

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  • November 15, 2015 at 6:13 pm
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    can u plzz add modified eulers method

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  • November 17, 2015 at 5:33 am
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    I don't necessarily agree with this teaching method. There are too many steps listed when really all that is needed to find this solution is knowing that stepsize*(slope at Po)=y' and y value at P1 = (y value at Po)+ y'

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  • December 1, 2015 at 5:05 pm
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    No fair: the guy wrote the question on the blackboard before the video started. This means he has a tendency to do ten minutes' work in just ten minutes, rather than the usual 43:17.

    You're supposed to write on the board while we watch you do it on the Intenet. Doing it beforehand is cheating. No fair.

    Also he forgot the Standard Behavior for YouTube instructors, blathering on for ten minutes and then saying "Now let's get started."

    What's the matter with this guy? Tell him to get with the program, OK?

    -dlj.

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  • January 23, 2016 at 11:39 pm
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    For part b, you only checked concavity at one point, but assumed it to be concave down until x=1/2. If it changed concavity before then, you could arrive at the wrong conclusion.

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  • December 30, 2016 at 2:43 am
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    Hi there. I calculated 5 steps using Euler’s method for the differential equation of this video. I used Excel to perform the calculations. I got the following results:
    n xn yn fn=f(xn,yn)
    0 0 -1 1
    1 0.5 -0.5 0.5
    2 1 -0.25 0.3125
    3 1.5 -0.09375 0.149414063
    4 2 -0.019042969 0.038448572
    5 2.5 0.000181317 -0.00045326

    I hope this information was useful for you. I am a graduate student of specialization in electric power systems at Central University of Venezuela in Caracas, best regards from Venezuela.

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  • January 26, 2017 at 2:55 pm
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    this guy is yoked

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  • March 9, 2017 at 10:27 pm
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    Great vid thanks. Inspired me to make this, https://shanegibney.github.io/Euler-First-Order-ODE-s/

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  • March 30, 2017 at 3:10 pm
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    this is exactly what I was looking for, thanks!

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  • April 4, 2017 at 1:01 am
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    and for a second order ODE? help me plz 🙂

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  • May 20, 2017 at 12:59 am
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    hi please can you ansewer this qst i am stucking on it "find optimal step h for euler method
    "

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  • September 25, 2017 at 5:30 am
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    This is super helpful! This is almost exactly how my professor does it and I was so lost when it came to Euler but now it makes so much sense! THANK YOU!

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  • June 3, 2018 at 10:03 pm
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    This was super helpful thank you

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  • September 29, 2018 at 3:59 pm
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    why does he stop at y = -0.25 and says that this is the solution that we're looking for?

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