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.
@channadissanayaka645013 күн бұрын
thank you very much
@shadrackokello822827 күн бұрын
Wow. The only video I was looking for to help me in answering the ODE 1 assignment. Thanks , big up man. 👊🇰🇪
@antonionavarro730227 күн бұрын
This is very interesting.
@James-sh4zfАй 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.
@wronski11Ай бұрын
Isn't 4:22 to be a total derivative on the rhs and partials on the lhs.
@endremoen6813Ай бұрын
I think there is a h missing in the denominator of the definition of the derivative
@danieltambunan9717Ай бұрын
where do we get our general sollution of EM wave? is it from the Helmholtz then find the solution of E (electric field)?
@aygr1821Ай бұрын
04:00
@aygr1821Ай бұрын
01:00
@aygr1821Ай бұрын
00:01
@moaz_qzАй бұрын
Concise , to the point , and great explanation ! Life saver , thank you
@shahzebali8577Ай 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
@ibrahimhassan2949Ай бұрын
Ok so I wasted the 2 hrs I spent reading the textbook bc this all they had to say. Thanks brother
@felipenunez40382 ай бұрын
very good video! not many on this topic that can explain it as good.
@idrisnebiuzun46162 ай бұрын
Thank you.
@mcanales90952 ай бұрын
dx/dt = x^3 - x^2 the task
@bartoszdrzygaa31792 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.
@archibongemmanuel36303 ай бұрын
God bless you sir. Its now making sense
@FaiGal3 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-dz5qm3 ай бұрын
Im using finite differences to find concentration and temperature in my reaction engineering project.
@musembititus51063 ай бұрын
🎉
@curtpiazza16883 ай бұрын
Cool! 😂
@curtpiazza16883 ай бұрын
😊 🎉 ❤
@curtpiazza16883 ай бұрын
Great! I like the "motivating examples"! 😂
@curtpiazza16883 ай бұрын
Best explanation I've seen! 😂
@curtpiazza16883 ай бұрын
Great! 😊 🎉
@curtpiazza16883 ай бұрын
Thanx! 😂
@curtpiazza16884 ай бұрын
Great! 😂
@curtpiazza16884 ай бұрын
Thanx!
@curtpiazza16884 ай бұрын
❤😊
@curtpiazza16884 ай бұрын
Love these examples....how you translate from words to math! 😊
@curtpiazza16884 ай бұрын
Great example! 🎉
@curtpiazza16884 ай бұрын
Excellent! 😊
@curtpiazza16884 ай бұрын
Great intro! 😊
@jamesmachira24374 ай бұрын
Where did 1/2 and 1/2c come from?
@malikcollins93884 ай бұрын
Thank for this. I was STARVING for math.
@HAMZAKHOKHAWALA4 ай бұрын
I don't understand how you computed b_k
@samblake99534 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-ho8jz9ue7n4 ай бұрын
easy and clear...Thanks
@desodenis5 ай бұрын
i guess it is linear cuz sinx doesnt have to depend on any y and its derivatives
@Indik475 ай бұрын
Very good explanation, TY
@josephbarnes35965 ай бұрын
Best explanation on the internet
@ak742565 ай бұрын
excellent explanation
@shivakumarcd5 ай бұрын
at 6:26 youtube stat shows highest watched!!! so accurate
@shivakumarcd5 ай бұрын
instead of f(x-ct) if we use U_0(x-ct) it may be more convenient.. as my professor did..
@kendalwilliams51285 ай бұрын
this was great! thanks
@ivancastro3655 ай бұрын
Why is the second to the last one not linear?
@user-ut3kb7wf8l6 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.
@slowmobius21366 ай бұрын
Do you need to have a directional field in order to draw the phase line?
@huntspace74236 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