How to use the Integrating Factor Method (First Order Linear ODE)
ฝัง
- เผยแพร่เมื่อ 5 ก.พ. 2025
- Steps on how to use the Integrating Factor Method to solve first order linear differential equations (ODE)
The first step is to make sure your first order linear ODE is in the form: dy/dx + P(x)y = Q(x) where P(x) and Q(x) are functions of x or a constant.
The next step is to find the integrating factor which is given by e raised to the integral of P(x).
The integrating factor then needs to be multiplied throughout the problem question. The equation can now be solved by integrating both sides with respect to x and dividing through by the integrating factor.
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Music by Adrian von Ziegler
That's some good music. Most check out these videos when they are panicked with tests round the corner so the music kinda eases the anxiety.
Watch it in 2X then you will know🤣🤣
Bro it only adds to the irritation
i cried to the music
No need to call me out lol.
Not only is the explaining so very easy to understand, the music is also very nice and relaxing and somehow makes the material easier to understand. Thank you for explaining it well!
the music is shit
Agreed. Gives me elder scrolls 5 vibes too
@@mr0zk just say Skyrim 😂
Aby ja na bhosdiky music sunn ny ke leye aye howee hn
Because the question itself was easy
Ah yes. I'm sure this is the music monks listened to when solving first order linear ordinary differential equations back in 800 AD
I’m pretty sure differential equations was a 17th or 18th century invension.
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Nahhh dude 😭
I have never more peacefully learned math, that was fantastic.
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This 3 minute video explained better than my lecturer did in a 2 hour lecture. Thanks a lottt
Writing down the notes in class I had no clue what the professor was trying to communicate. This made it very simple and easy to understand. I looked at my notes copied down from class and it was like a magic eye poster. Thank you for this video.
This is such a good, simple refresher. Thank you for explaining it so well and not talking over the top. Theory on one side and practice on the other. Very concise!
Love this music and how quickly and well this video explained this topic.
I came to learn calculus, music made me wanna play some fantasy rpg
me too hahaha
I'd say that's a mission accomplished.
For me, this style of teaching is EXCELLENT. Slow paced and clearly written. Music instead of voice is great. Thanks
Brilliant tutorial, no nonsense! The text makes it easier to follow on your own pace rather than having voice over like other tutorials!
I feel like I'm going on a medieval quest rather than solving differential equations
bro. I've rewatched my lecture like 5 times and still didn't get it. I watched this ONCE and now I understand. Also the music is nice af. Please post more vids with this track! super soothing. def my optimal way of learning
T -5 hours before IB Math AA HL and this guy saves me and his music lifts my spirits. Gotta love this.
the process of the IF method is clear and easy to understand ... and the relaxing music ending at the same time of the video gives you a sense of accomplishment
Thank you so much for making these videos! I have not touched math (mainly calc) in years and this helped so much and made the integrating factor method so easy to understand : )
Finally an explanation on how to use integrating factors that was easy to follow and understand, and the music is very nice too.
Thank you for this video I understood it much more than I did before. The lectre slides just weren cutting it and I was getting frustrated that I couldn't seem to get my head around this topic. Once again thanks and keep up the good work.
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the music refreshes my mind unlike other videos with boring speeches that makes me sleep
Came here, since the lecture slides did not explain the trick at 2:01! Thanks for mentioning it.
Music is so beautiful I cried 😭😭😭
Very well explained. Understood even after losing touch with Integration for 4 + years
Cleared years of misconception in 4 min
I was searching for integration factor and I found the meaning of my life
thank you very much mate
finally i found the kind of explanation i was searching for, its perfect, thankyou:)
Music was amazing,I feel like I'm in the heaven.
The music almost made me cry.
Thanks for the lesson, i was very helpful and clear. Am expecting more!
You do my headache stopped!
My brain: must stay awake to do math
This music: not on my watch
The BG music is making me rewatch the video.
😍😍😍😍😍😍i felt its very hard but u have made it easy thank you smmm.....
Thank you so much. This video was really awesome. Today I cannot understand this topic from my university professor in my classroom but when I watch this video then I got clearly , means thanks a lot.
Thank you!
Sir you create, interest in the students mind to learn maths by this music
WOULD YOU BELEIVE, HE DIDN'T TALKED ANYTHING... YET EXPLAINED THE TOPIC CRYSTAL CLEARLY. ❤️❤️👍👍
Thank you for proving the formula y=(integral(IF×Q(x)dx)+C)/IF
love this video，quiet and clear
Siochain Shuthain by Adrian Von Ziegler
Thanks for the breakdown! Also, the music is reminding me of my grandparents funeral.
I got my tear down while learning
We need more professors that teach us information like we're still 15 lol. Please force feed us the steps instead of making it over complicated!
The most peaceful video
I really loved the music!!❤️
charam sukh prapt to gaya sir gana sunke🙏
Love music and gain knowledge quickly😊
Incredible music, incredible tutorial. Thank you!
First'time after drop a year I know reason behind all tha rula y we calculate the ingr factor,thanks for this vedio
Thank you very much for this video! The music was excellent and the side by side explanation and example was very nice.
Gramercy for this absolutely beauteous tutorial! God spede you dear sir!
Glad to see maths in Tamriel is the same as here
Thank you so much for this short video
Otherwise we have to watch 1 hour lecture to know this method of solving differential equation 😊
I was in so much panic and the music relieved me
Edit: now im in more panic because I thought I had to do 100questions but I have to do 200😱 tomorrow exam
Hey, you, you're finally awake
Very useful❤
Simple videos like this are so helpful. Thank you!
Thanku so much ...this music calmed my mind and explanation cleared my whole concept ❤️
What a peaceful bg music 🎶 feels like standing in between cherry blossom garden 🤍💮💮💮
bro i love the music- so much better than a static raspy voice blaring into ur ears
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Thank you very much for your teaching
Very good video, easy to understand .
what a godsend, explained so well and clearly, thank you.
this is such a nice concept. I feel like I should brew some beer on the side.
This makes so much sense now!! Thank you!!
Thanks for explain this topic & background music is very well 👍 thank you soo much
The music is very satisfying i enjoyed the content and
Thank you so much. Your explanation was too nice
Just a Masterpiece.....
This is the easiest way to learn this one . Sometimes it pays to show them how easy it is to do the actual math, then go back and show them in detail what is going on. Sometimes it is easier to show them the theory, then the problem because the theory is important in actually completing the math. Sometimes doing it side by side is the best way theory-problem.
Very nice video 🤗💭💭
Many many thanks for make me understand of this rule
Amazing explaination
Thank you so much this cleared everything up
Just loved this
For anyone who is an engineer taking Differential Equations, it doesn't get easier!
Math is not boring. It's professors that make it boring
thank you so much for explaining that sir...
Advance style teaching
Special music is outstanding awesome
Love your explanation ❤️❤️
hello thank u for the video. i want to ask regarding the 3rd step which is multiplied equation by IF, is the 'product rule' unchangeable? on the right side of the example, it says 3Y, and on the product rule the number 3 is not included, is this because the product rule is already exact?
sorry If this question doesn't translate well, English is not my main language
music reminds me of lord of the rings, i like it lol
tnx for the video..love from bangladesh
music is lovely. nice choice
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Is the q(x) can be 2x-1?
Thank you so much! ❤️
the product rule portion confuses me. i mean, i understand how it works, but in this context, i just couldn't "see" it, can someone explain to me? Perfect video btw, with great music :)
Great video. Thank you
It's the music that makes me stay, for real tho...
Thank you for explaining this so beautifully.
saved me so much time...
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Thank you sir, thank you thank you thank you so much...☺️☺️☺️🙂
That's Great tutorial.
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Great effort 🤗😌👏🙏
THANK YOU
What's the music called?
Are there some cases where we’ll integrate with the respect to Y?
Not really
what happens to the 3y?
He moved on
The 3 is the constant in the formula
Apply the product rule on the formula and you'll understand
too good
loved it
very clear, thank you
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