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thank you very much

Wow. The only video I was looking for to help me in answering the ODE 1 assignment. Thanks , big up man. 👊🇰🇪

This is very interesting.

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.

Isn't 4:22 to be a total derivative on the rhs and partials on the lhs.

I think there is a h missing in the denominator of the definition of the derivative

where do we get our general sollution of EM wave? is it from the Helmholtz then find the solution of E (electric field)?

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Concise , to the point , and great explanation ! Life saver , thank you

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

Ok so I wasted the 2 hrs I spent reading the textbook bc this all they had to say. Thanks brother

very good video! not many on this topic that can explain it as good.

Thank you.

dx/dt = x^3 - x^2 the task

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.

God bless you sir. Its now making sense

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 😅

Im using finite differences to find concentration and temperature in my reaction engineering project.

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Cool! 😂

😊 🎉 ❤

Great! I like the "motivating examples"! 😂

Best explanation I've seen! 😂

Great! 😊 🎉

Thanx! 😂

Great! 😂

Thanx!

❤😊

Love these examples....how you translate from words to math! 😊

Great example! 🎉

Excellent! 😊

Great intro! 😊

Where did 1/2 and 1/2c come from?

Thank for this. I was STARVING for math.

I don't understand how you computed b_k

Very intuitive justification with a beautiful marriage between physics 1 and pre calculus. Really warms my heart seeing a tough subject tackled like this!

easy and clear...Thanks

i guess it is linear cuz sinx doesnt have to depend on any y and its derivatives

Very good explanation, TY

Best explanation on the internet

excellent explanation

at 6:26 youtube stat shows highest watched!!! so accurate

this was great! thanks

Why is the second to the last one not linear?

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.

Do you need to have a directional field in order to draw the phase line?

Really great educational vids. Made me curious how the fuck did these fucking brilliant scientists and mathematicians came up with those fucking brilliant equations

Pupb7p