Lec 1 | MIT 18.03 Differential Equations, Spring 2006

By | August 11, 2015

The Geometrical View of y’=f(x,y): Direction Fields, Integral Curves. View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu

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25 thoughts on “Lec 1 | MIT 18.03 Differential Equations, Spring 2006

  1. the0fart0machine

    To solve a differential equation involved the time honoured method of guessing! For a weight on a spring, an intelligent guess suggested a sine wave. I wish I had known this years ago.

  2. lvngdead

    You can read what he’;s gonna say before he says it!!!

    MIT is so advanced!!! yah!

  3. muffinod

    Does MIT have some deal with youtube regarding the videos?

  4. nedobirdwere

    @billtruttschel it’s actually a 2003 vid

  5. billtruttschel

    At 14:00, the prof says it’s 2003, but the title of the vid says 2006?

  6. MundusLitterae

    Thanks. I’m going to start differential Equations soon and a little birdie told me, these videos helped her SOOOOO much :D

  7. gomenaros

    This professor makes a lot of mistakes both in maths and english… MIT my ass…

  8. fermixx

    we almost thought the uniqueness theorem was fucked up, dang !

  9. aaronswims

    great post, starting differential equations and linear algebra tomorrow, this is gonna help a bunch. thx from fresno state

  10. Bearkiller777

    thanks for posting this I am starting an ODE’s and Linear Algebra class tomorrow I am going to be studying Engineering so I have a lot of math left to do still.

  11. Bearkiller777

    if you go to the official MIT media course webpage which you can find on google (no I’m not going to do that for you lol) you can find all the lectures from the classes online

  12. andydeniedyou

    i liked the last example, good intro lecture

  13. djdaedulus

    c++ ?
    i + b = c
    c + i = c1
    c + b = c2
    c + c1 = c3
    c + c2 = c4
    c4 + b = i++

    int i = 54
    int b= 2
    int c = 666

    shoot C++ is the best way for me to learn this kinda math, most people know this stuff they just can’t put the symbols to common sense. C++ makes it easy in my opinion. I would say line element math would come in handy for designing turbo fins for rocket engines, heat emission, and wind tunnel testing.

  14. metabog

    What are you talking about? He doesn’t have to fully explain it because most of the people in that lecture theater pretty much already know half the stuff he’s about to teach.

  15. masonprof

    At 45:02, when he starts writing the equation after integration, the left side should be -ln(abs(1-y)) because of the coefficient of -1 for y. This leads to a solution of y=C/x+1. The solution he arrives at is for xy’=y-1 because the coefficient of y is +1, so the natural logarithm remains positive after integration.

  16. aeros39

    at the end of the video, in the subs its written that “throughout, 1-y should be y-1″ WHY? professor solved the problem with 1-y, and there seems to be no problem???

  17. apadanaonfire

    in the video he says this being 2003 at 14:00 but on the title it says Spring 2006. I know who cares but i’m just saying.

  18. duyu

    Haha, I like how he put “c = ?” in quotations to indicate that he’s not responsible for it.

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