Dammn I was stuck on Riccati for ages but this video is amazing :D
@mertcanonur3126
7 жыл бұрын
NewJayqwe2 on the point !!
@ylmazbarserkan2307
6 жыл бұрын
Remarkable video, thank you. Yet I still have a question that requires answer. How can we come up with a particular solution on Ricatti eqn., if we are not provided with one? Thank you for the answer in advance.
@abdulhusseinalsultani9222
3 жыл бұрын
Please At time 9,34 (e^x w)^'= _ int.e^2x dx we^x= _1/2 e^2x +c
@abdulhusseinalsultani9222
2 жыл бұрын
Sorry int (e^×w)^'= _int e^2xdx e^x w= _1/2e^2x+c You are right
@seventyfive7597
6 жыл бұрын
Hi, I know it was just a misdrawn line, but to clear up, the parabola you drew for clairaut does not go over the lines coming from the general sol-n, they are in fact tangent lines to the singular solution, not by accident but this is actually a property of Clairaut's equation.
@james_dinham
Жыл бұрын
14:45 Are you squared 😂😂😂😂😂 not a question
@reinerwilhelms-tricarico344
Жыл бұрын
To make the Italians happy note that the name Ricatti is really Riccati.
@MasterNoxob
8 жыл бұрын
Thank you, that helped me a lot.
@rezapishkar3181
4 жыл бұрын
25:50 for clairaut
@abdulhusseinalsultani9222
2 жыл бұрын
Hi professor Please I am a mechanical engineer 1975- 1976 At 2004 Ad I discovered that Bernoulli D.E. was unequal equation and the way of substitution of u= y^_1 complicated the solution and take long time so I suggested a new D.E instead of Bernoulli differential equation to solve the problems in short way and time but many scientific journals didn't publish it. So please can you help me to submit my article and publish it because it is too much useful for the teachers and students. Also I have new way to solve riccati equation simply. Thank you very much. I hope your advices.
@ayberkgorgun
7 жыл бұрын
5:57 lol :)
@mabdulre9
Жыл бұрын
Thank you
@avibank
8 жыл бұрын
19:20 Note to self! Thank you very much. I'll be using your videos for the rest of my course.
@evynhawkins8854
8 жыл бұрын
Currently getting my butt kicked by Ricatti, so I watched from where you linked. However the final solution he reaches is different from the answer guide in the back of my DE book, so I don't know if the book is wrong or if he made a slight mistake. Everything matches except for the -1/4x term. In my book it has -x/4. So confused.
@dbs_jd
9 жыл бұрын
Thanks a lot!
@YT-ie1zs
3 жыл бұрын
First off, I was already biased against this video because i don't think this professor is good at explaining "why." How terrible that when a student had a question, he just said "watch the video." The least he could've said was, "see me after class." and I will not be subscribing, because some people need what you're doing, broken All the way down. I don't even want to watch the rest of the video; Young man, when you have a question, you let that instructor know the whole reason they get paid is to share their wisdom with you, and insist on them explaining it to you when they "have time!"
@mrgonzalezWHS
3 жыл бұрын
You may not appreciate my teaching style, and that is totally fine. One of the nice things about youtube is there are so many other resources out there. The comment that was made ("watch the video") was because this student had missed a few days and had not yet learned how to solve a linear equation, which was a previous lesson and what he was asking about. To address his question, I would have needed to spend time we didn't have in class to essentially reteach linear equations, which everyone else in the class was already comfortable with. I also routinely meet with my students before school, during my lunch, during my planning periods, and after school to offer extra help and support. But I do not meet with them to teach them an entire lesson that is already available for them. This is why I started my youtube channel in the first place. These videos are for my students for when they miss class.
@oosmanbeekawoo
4 жыл бұрын
Wow. I never saw a class where students could be so participative. I wonder what university is this
@moustaphadiagne188
4 жыл бұрын
Thx a lot 11:55 for thoses who need Riccati
@SowjanyaEvangelinechannel
4 жыл бұрын
Thank u...
@zandiviljoen146
3 жыл бұрын
thanks:)
@mahmoud-ibrahim
7 жыл бұрын
Thanks it helped a lot (y)
@mihaibolboceanu9347
9 жыл бұрын
at 2:56 , how come the right side gets its own dy/dx, but the left side only gets a d/dx?
@evangelinecheng3171
9 жыл бұрын
+Mihai Bolboceanu You are differentiating with respect to x. As the LHS only consists of y, you implicitly differentiate it (which is differentiating y normally and then adding a dy/dx so that it is differentiated with respect to x)
@aryanarora7046
8 жыл бұрын
how to find particular solution (y1) for a given riccati equation if it's not given?
@reeop23
8 жыл бұрын
Well, I'm not sure for the exact way... but it definitely deals with the symmetry of the problem. As said in the video, the Ricatti differential equation looks like a quadratic of some sort. Simple Ricatti equations, such as y'=6+5y+y^2 can be written as y'=(3+y)(2+y). Now solutions to where the quadratic equals zero is y=-3, and y=-2. If you say your particular solution is y1=-3 then your y'=0. Test if this works. 0=(3+(-3)(2+(-2)), which works, and you can say that y1 is a particular solution. But once you get more into some of the more complicated equations such as y'=sec^2x-(tanx)y+y^2, it is a bit more difficult. But the symmetry within these equation can be used to your advantage. We can rewrite this equation as y'=tanx^2+1+(tanx)y+y^2, rearranging the equation... tanx(tanx-y)+(y^2+1) = y' Now, this may not be so obvious, but if we make our y = tanx, y'=sec^2x, we get that: tanx(tanx-tanx) +(tan^2x+1)=sec^2x! And this works! So my advice is; use the symmetry to spot certain patterns within the equations. I don't know if you remember, but many times in the Calculus sequence, a^2+u^2 was always hand in hand with the tangent. Things like these can go a long way. Hope this helped at least a bit.
@Marzahl
2 жыл бұрын
Thanks, it helped
@albron2189
4 жыл бұрын
Thank u great sir
@MasterNoxob
8 жыл бұрын
30:13 said noone ever... lol
@engineeringundergradsoxfor4681
7 жыл бұрын
9:35 Shouldn't the result by (e^x w)' = 1 ?
@Kadbros
6 жыл бұрын
u*Q(x), that the integrating factor times Q(x), (e^x) * (-e^x) ; -e^x+x or -e^2x (INDICES)
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