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

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

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.

lvngdead

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

MIT is so advanced!!! yah!

muffinod

Does MIT have some deal with youtube regarding the videos?

nedobirdwere

@billtruttschel it’s actually a 2003 vid

Ducky831

Mr. Philley own this guy.

gleirobson

video bom

billtruttschel

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

MundusLitterae

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

gomenaros

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

fermixx

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

aaronswims

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

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.

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

andydeniedyou

i liked the last example, good intro lecture

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.

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.

aeros39

thank you, now i get it

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.

autorancho

Good Job , Professor !!!

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???

apadanaonfire

correction 13:58

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.

smallz311

Thank you for clarifying

duyu

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

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.

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

MIT is so advanced!!! yah!

Does MIT have some deal with youtube regarding the videos?

@billtruttschel it’s actually a 2003 vid

Mr. Philley own this guy.

video bom

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

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

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

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

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

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.

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

i liked the last example, good intro lecture

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.

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.

thank you, now i get it

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.

Good Job , Professor !!!

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???

correction 13:58

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.

Thank you for clarifying

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

Amen, brother.