Oh god. Amazing, simple and the best!! First time I felt I completelly understand diff eqn video. I was about to give up on that lecture after I got 26 at first exam. I wish I could find you earlier. Ironically I was 11 when you captured this. So thank you. If I can pass diff-219 I promise Iam going to donate.
Thank you for your comment. I appreciate it and am happy I was able to help. I hope things turn around for you in the class. mathispower4u.com/diff-eq.php
No. See the previous vids. For r = alpha +- beta i, the general solution is x(t) = e^(alpha t)[C1 cos(beta t) + C2 sin(beta t)]. You could use x(t) = c1 cos (6t) + c2 sin (-6t) if you wanted to, and it would not make any difference. The sine function is odd, so sin(-6t) = -sin(6t). This means you would get x(t) = c1 cos (6t) + c2 sin (-6t) = c1 cos (6t) - c2 sin (6t) = c1 cos (6t) + (-c2) sin (6t) Since C2 is just an unknown constant, and -C2 is equally constant and equally unknown, the negative sign would not make any difference to your final result. It is a bit messier, though, so we don't usually do it that way.
I have question, The initial conditions of any vibrating system are to be applied to a: 1) Transient solution 2) Steady-State solution 3) Total solution 4) None of them Thanks I am waiting ur answers guys
Question: Omega square = 36. Where is this information from in your example? What does it represent? It is not explained in your video. Everything else is very clear.
Omega squared is k/m. This could come from a spring constant of k = 72 and a mass of m = 2, or from a spring constant of k = 18 and a mass of m = 0.5, etc.
Mathispower4u, hands down you are the best one who explained the undamped system so far !!
man,, hands down you are the best one who explained the undamped system so far !!
Thank you sir.
I usually like your videos before watching them because I know they will be good.
Oh god. Amazing, simple and the best!! First time I felt I completelly understand diff eqn video. I was about to give up on that lecture after I got 26 at first exam. I wish I could find you earlier. Ironically I was 11 when you captured this. So thank you. If I can pass diff-219 I promise Iam going to donate.
Thank you for your comment. I appreciate it and am happy I was able to help. I hope things turn around for you in the class. mathispower4u.com/diff-eq.php
Mannn i really really realllyyyyyy love your notes and how you lay out everything
Everything is so clear and easy to understand
Thanks so much :)
your explanation is clear and easy to understand ... great job sir, i'll become your subscriber :D
agree..!!!
no fluff, straight to the and explained thouroughly! a like worthy video
Thank you!
Thanks Man! You explained it to the point in a simple and understandable manner!
Excellent explanation
@@hariharank2363 Thank you!
you are the number one bro
thank you! i really understand your discussion.
thank you so much man. really so helpful
@5:45 isnt it supposed to be x(t) = c1 cos (6t) + c2 sin (-6t) ? cause of the + and - . great video all around though!
No. See the previous vids. For r = alpha +- beta i, the general solution is
x(t) = e^(alpha t)[C1 cos(beta t) + C2 sin(beta t)].
You could use x(t) = c1 cos (6t) + c2 sin (-6t) if you wanted to, and it would not make any difference. The sine function is odd, so sin(-6t) = -sin(6t). This means you would get
x(t) = c1 cos (6t) + c2 sin (-6t)
= c1 cos (6t) - c2 sin (6t)
= c1 cos (6t) + (-c2) sin (6t)
Since C2 is just an unknown constant, and -C2 is equally constant and equally unknown, the negative sign would not make any difference to your final result. It is a bit messier, though, so we don't usually do it that way.
I have question,
The initial conditions of any vibrating system are to be applied to a:
1) Transient solution
2) Steady-State solution
3) Total solution
4) None of them
Thanks I am waiting ur answers guys
Thanks a lot!!
Why is the value of omega +6 only and not plus minus 6? Thanks.
Question: Omega square = 36. Where is this information from in your example? What does it represent? It is not explained in your video. Everything else is very clear.
Omega squared is k/m. This could come from a spring constant of k = 72 and a mass of m = 2, or from a spring constant of k = 18 and a mass of m = 0.5, etc.
how I get the pdf lecture please
2nd derivative of x with respect to x? do not understand JA
Don't mean to sound like a pain but it says IVP problem... otherwise an excellent video
hi oba
hai mirul
tq mirul for the explaination
you spelled friction wrong 1:19
Thanks
u should become a math teacher
hai uzai
Luqman, is there any question you want to ask?
@@mohduzairbinmohdrizal3096 no sir..i just wanna say good morning...ne ne ne ne ne nee ne ne nee neeee neeee
This easily couldve been a 5 minute video. recommend watching on 1.5x speed
ok Einstein