Lol, at first I was like "hold on a minute... isn't this separable?" and a few seconds later he's like "you might have noticed that it's separable" :D I felt so smart
Fantastic, The first video was a bit confusing, but this was so much better, maybe switch the order on this one vs. the other one b/c this seems a bit easier than the first.
hey so I paused the video and tried to solve on my own, I took the derivative of x for (2x+3) and derivative of y for (2y-2). which left me w 2=2 so I continued. I ended up taking the intergral of x for (2y-2). My final answer was psi(x,y) = 2yx -2x +3y + c. is this just completely wrong? or is this another solution becasue I would be surprised If i was able to get a complete answer and it be wrong.
At 5:43 you have said we do not have to worry about the plus c, however while taking the partial anti-derivative with respect to y, shouldn't there be some other function g(x) that's generated as the so called constant of integration. Just a query.
@@ninatsvetkova It has nothing to do with the chain rule. It simply follows from the initial conditions. For instance, if you have conditions x0 = 0 and y(x0) = y0 = 0, then c = x^2 + 3x + y^2 - 2y = 0^2 + 3*0 + 0^2 - 2*0 = 0.
@IiIbao You can use the integrating factor method to make them exact provided that it is in the same form but My is not equal to Nx (There is another video on this).
Lol, at first I was like "hold on a minute... isn't this separable?" and a few seconds later he's like "you might have noticed that it's separable" :D
I felt so smart
thank's teacher !
thats the book im using!
The first example in this video is separable
He says that at 1:40
its funny because the first video has 190,000 viewers, the second one 29,000 and the 7th on 7,000
how many ppl get lost in the way !
Well today it has 255,004 views so there is hope.
15 minutes in here is better than 2hrs in lecture halls , fantastic
Thank you sooooo much!!! So so much! You are so very helpful. Just keep these videos available plz...lol.
Lol I have the 9th edition of the same book you're using
great videos! ive just learnt so much in 15minutes :D
Fantastic, The first video was a bit confusing, but this was so much better, maybe switch the order on this one vs. the other one b/c this seems a bit easier than the first.
u are awesome. you are incredible. i love you
hey so I paused the video and tried to solve on my own, I took the derivative of x for (2x+3) and derivative of y for (2y-2). which left me w 2=2 so I continued. I ended up taking the intergral of x for (2y-2). My final answer was psi(x,y) = 2yx -2x +3y + c. is this just completely wrong? or is this another solution becasue I would be surprised If i was able to get a complete answer and it be wrong.
thats the same book i use did he go to mit ?
1st example can be solved with variable seperable
yeah he says it at 1:40
Why does psi = constant
For the first time I am having difficulty in learning about the Exact equations from the Khan Academy.
At 5:43 you have said we do not have to worry about the plus c, however while taking the partial anti-derivative with respect to y, shouldn't there be some other function g(x) that's generated as the so called constant of integration. Just a query.
0:06 - Page 99 of the ninth edition. :)
video quality is very low
So how to you find C in psi = C?
You should watch the previous videos. But it comes out of the Chain rule
@@ninatsvetkova It has nothing to do with the chain rule. It simply follows from the initial conditions. For instance, if you have conditions x0 = 0 and y(x0) = y0 = 0, then c = x^2 + 3x + y^2 - 2y = 0^2 + 3*0 + 0^2 - 2*0 = 0.
@IiIbao You can use the integrating factor method to make them exact provided that it is in the same form but My is not equal to Nx (There is another video on this).
@kourosh89 watch his "exact equations intuition 2" video and it'll all be clear
best!
The red/dark purple/pink pen is difficult to see on a black board😣😣
he uses the same text my class at Rutgers uses! except ours is the ninth edition lol
Watch the previous videos in the playlist to understand...........
i guess this is separable?
we need harder examples please
YOU CAN ALSO JUST INTEGRATE M AND N, THAN PLUS EACHOTHER, PLUS A CONSTANT (like this ? :)), it's much more easy ! :)
That only works with this specific example, and I think it is ultimately because M and N are functions of ONLY x and y, respectively.
sorry but i m lost!!
do Wronksi please
second one is the homogeneous DE
tnx
Thx man
this is awsome
love it x
Hey awesome video.
On a side note, you can solve this in an easier method.... It is a separable equation!