The Method of Integrating Factors for Linear 1st Order ODEs **full example**

In this video we do a full example using the method of integrating factors to solve a first order differential equation. The first thing to observe is that this is a linear ODE. Then, we apply the integral formula to get the integrating factor, and finally use that to get a solution to the ODE.

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[alexfriedman]

these two videos on integrating factor may have been the 15 most educational minutes of my entire life, thank you Dr. Bazett

[Zeddy]

Dr. Bazzet! I've always been grateful to you🙏
As a math student, I have always been beyond amazed by the grandeur of mathematics.😲
It is PHENOMENAL! 💯💫

[alperari]

interestingly, i saw same topic yesterday in my lecture. He is still better than my instructors

[Aaron-srnc]

This is a great explanation! My professor didn't explain this anywhere near this good and left me so confused but it's so much easier than I thought. Thank you!

[Geometiclink]

Thank you. I needed this to refresh my memory.

[shmkrar]

Thank you so much sir. I was learning about the charging of a capacitor and got stuck at a linear first order ODE. I used this and the previous video to learn how to solve them, and I was finally able to derive the capacitor charging equation myself. Thanks a million from India!

[georgesadler]

Professor Bazett, thank you for solving Linear First Order Ordinary Differential Equation using The Integrating Factors.

[AnasHawasli]

dude this content is gold
thank you so much

[thejesterschagrin]

Such a clear, easy-to-follow explanation. Thank-you so much! :)

[researcher]

Dr Bazett, thank you so much. The first video and this video really helped me understand Differential Equations.

[adrianj]

Thanks for sharing this. It cleared up a couple issues I had solving some problems.

[Leon_George]

If all universites had the teaching abilities you possess, the world would be filled with many fewer dissatisfied graduates, and enthusiastic engineers!

[pumpchump]

This video made me angry. I just realized how poorly my professor explains the fundamentals of Differential Equations like integrating factors. I loved DE in undergrad and haven't really enjoyed it in the grad course. I hope your Fourier Series videos can save me.

Thanks for the great videos!

[nhaz]

i still couldn't see it for the product rule. can you explain for me?

[blessingsphwitiko]

Useful content that helped alot.
i appreciate it

[alexandrachiritescu]

What you said at 2:25 is not true if it's the derivative with respect to x. Could you explain, please?

[WyattVanLoon]

So if the product rule is an equality and a direct substitution for the left side of the equation, why do you still multiply the integrating factor by the right side? Because it is only a direct substitution after you multiply the IF by the whole equation?

[vanlang]

Thank you for this informational video.

[atshaamashraf]

Great vid mate keep up the good work 👍

[noahbarrow]

Greetings again from nyc! Another awesome video Dr. Trefor :) Got a quick question about some mathsss at the end. I paused the video and tried working the problem through first but when I tried to isolate y and divided the right hand side of the equation by e^4x i got y = (1/3e^x) + C/e^4x. I'm sure this id deliriously minor but I just don't understand how you got e^-4x on the right hand side...