ODE | Phase lines
7:40
5 жыл бұрын
ODE | Superposition principle example
2:54
ODE | Principle of superposition
4:18
PDE | Heat equation: intuition
7:56
11 жыл бұрын
ODE | Bifurcation diagrams
5:33
11 жыл бұрын
ODE | Phase diagrams
5:54
11 жыл бұрын
ODE | Logistic equation example
6:00
11 жыл бұрын
ODE | The logistic population model
4:48
ODE | Population models
6:02
11 жыл бұрын
ODE | Mixing problem example
4:57
11 жыл бұрын
ODE | A model for mixing problems
6:02
ODE | Integrating factors example
3:28
ODE | Linear versus nonlinear
3:26
11 жыл бұрын
Пікірлер
@geoffrey6000
@geoffrey6000 8 күн бұрын
my professor glossed over this, the whole class forgot about it, and it showed up on the midterm. Everyone was completely stumped it was hilarious.
@channadissanayaka6450
@channadissanayaka6450 13 күн бұрын
thank you very much
@shadrackokello8228
@shadrackokello8228 27 күн бұрын
Wow. The only video I was looking for to help me in answering the ODE 1 assignment. Thanks , big up man. 👊🇰🇪
@antonionavarro7302
@antonionavarro7302 27 күн бұрын
This is very interesting.
@James-sh4zf
@James-sh4zf Ай бұрын
so... why are u and v equal? The notation used in this video is absolutely horrible. u(x,t), is that u as a function of x and t, and v(ξ,t) v as a function of ξ and t? How is ∂u/∂t computated as described? Is u = u(x,t), so ∂u/∂t = ∂[v(ξ,t)]/∂t? Far too many steps being missed out, here.
@wronski11
@wronski11 Ай бұрын
Isn't 4:22 to be a total derivative on the rhs and partials on the lhs.
@endremoen6813
@endremoen6813 Ай бұрын
I think there is a h missing in the denominator of the definition of the derivative
@danieltambunan9717
@danieltambunan9717 Ай бұрын
where do we get our general sollution of EM wave? is it from the Helmholtz then find the solution of E (electric field)?
@aygr1821
@aygr1821 Ай бұрын
04:00
@aygr1821
@aygr1821 Ай бұрын
01:00
@aygr1821
@aygr1821 Ай бұрын
00:01
@moaz_qz
@moaz_qz Ай бұрын
Concise , to the point , and great explanation ! Life saver , thank you
@shahzebali8577
@shahzebali8577 Ай бұрын
Hey can you tell me the reason why in solving you supposed w(t) =e^omega*t while in odes we used to do it y=e^mx... Is this due to independent variables x and t or any other reason
@ibrahimhassan2949
@ibrahimhassan2949 Ай бұрын
Ok so I wasted the 2 hrs I spent reading the textbook bc this all they had to say. Thanks brother
@felipenunez4038
@felipenunez4038 2 ай бұрын
very good video! not many on this topic that can explain it as good.
@idrisnebiuzun4616
@idrisnebiuzun4616 2 ай бұрын
Thank you.
@mcanales9095
@mcanales9095 2 ай бұрын
dx/dt = x^3 - x^2 the task
@bartoszdrzygaa3179
@bartoszdrzygaa3179 2 ай бұрын
Just want to say, you are awesome. This is the best series on PDEs I've seen on YT. I love the way you use examples, like with a moving cart, to visualize what's behind the equations.
@archibongemmanuel3630
@archibongemmanuel3630 3 ай бұрын
God bless you sir. Its now making sense
@FaiGal
@FaiGal 3 ай бұрын
Just understand how to draw the slope field and follow the directions on the y-axis basically. Idk why my professor made it sound way more complicated 😅
@JamesVestal-dz5qm
@JamesVestal-dz5qm 3 ай бұрын
Im using finite differences to find concentration and temperature in my reaction engineering project.
@musembititus5106
@musembititus5106 3 ай бұрын
🎉
@curtpiazza1688
@curtpiazza1688 3 ай бұрын
Cool! 😂
@curtpiazza1688
@curtpiazza1688 3 ай бұрын
😊 🎉 ❤
@curtpiazza1688
@curtpiazza1688 3 ай бұрын
Great! I like the "motivating examples"! 😂
@curtpiazza1688
@curtpiazza1688 3 ай бұрын
Best explanation I've seen! 😂
@curtpiazza1688
@curtpiazza1688 3 ай бұрын
Great! 😊 🎉
@curtpiazza1688
@curtpiazza1688 3 ай бұрын
Thanx! 😂
@curtpiazza1688
@curtpiazza1688 4 ай бұрын
Great! 😂
@curtpiazza1688
@curtpiazza1688 4 ай бұрын
Thanx!
@curtpiazza1688
@curtpiazza1688 4 ай бұрын
❤😊
@curtpiazza1688
@curtpiazza1688 4 ай бұрын
Love these examples....how you translate from words to math! 😊
@curtpiazza1688
@curtpiazza1688 4 ай бұрын
Great example! 🎉
@curtpiazza1688
@curtpiazza1688 4 ай бұрын
Excellent! 😊
@curtpiazza1688
@curtpiazza1688 4 ай бұрын
Great intro! 😊
@jamesmachira2437
@jamesmachira2437 4 ай бұрын
Where did 1/2 and 1/2c come from?
@malikcollins9388
@malikcollins9388 4 ай бұрын
Thank for this. I was STARVING for math.
@HAMZAKHOKHAWALA
@HAMZAKHOKHAWALA 4 ай бұрын
I don't understand how you computed b_k
@samblake9953
@samblake9953 4 ай бұрын
Very intuitive justification with a beautiful marriage between physics 1 and pre calculus. Really warms my heart seeing a tough subject tackled like this!
@user-ho8jz9ue7n
@user-ho8jz9ue7n 4 ай бұрын
easy and clear...Thanks
@desodenis
@desodenis 5 ай бұрын
i guess it is linear cuz sinx doesnt have to depend on any y and its derivatives
@Indik47
@Indik47 5 ай бұрын
Very good explanation, TY
@josephbarnes3596
@josephbarnes3596 5 ай бұрын
Best explanation on the internet
@ak74256
@ak74256 5 ай бұрын
excellent explanation
@shivakumarcd
@shivakumarcd 5 ай бұрын
at 6:26 youtube stat shows highest watched!!! so accurate
@shivakumarcd
@shivakumarcd 5 ай бұрын
instead of f(x-ct) if we use U_0(x-ct) it may be more convenient.. as my professor did..
@kendalwilliams5128
@kendalwilliams5128 5 ай бұрын
this was great! thanks
@ivancastro365
@ivancastro365 5 ай бұрын
Why is the second to the last one not linear?
@user-ut3kb7wf8l
@user-ut3kb7wf8l 6 ай бұрын
I just learn the wave equation, the textbook shows general solution is f(x+ct)+g(x-ct), when I saw your video, I cannot connect to these two difference solutions.
@slowmobius2136
@slowmobius2136 6 ай бұрын
Do you need to have a directional field in order to draw the phase line?
@huntspace7423
@huntspace7423 6 ай бұрын
Really great educational vids. Made me curious how the fuck did these fucking brilliant scientists and mathematicians came up with those fucking brilliant equations