A-Level Further Maths I1-05 1st Order Differential Equations: Integrating Factors

[ugestacoolie]

thank you so much sir! My teacher did not do this formal explanation and gave us questions directly which confused the heck out of me

[NovaWova-mc]

What is a perfect derivative is it almost like the reverse of a product rule??

[XLatMaths]

Hi, do you find it easier to teach this using P instead of P(x)?

I usually just teach the P(x) form from the textbook as I don't have to specify that P isn't a constant.

[cookiecains]

Hi can any differential equation that would otherwise be solved by separating the variables be solved with an integrating factor?

[chanukaamarasekara]

Hi Mr. Jack! I am a Sri Lankan student studying Cambridge A levels. Your videos are very helpful and I watch them regularly. Would you mind if I could reach you personally to clarify few doubts?
If you are ok with it please be kind enough to let me know a way to reach you. Thanks again!

[dylanpi]

When integrating 1/R, why do you not have to worry about using reverse chain rule?

[andrewjg_]

so what type of question would they ask in an exam based on this?

[jefftheseagull]

At 4:50, should it be |R| instead of R?

[forthrightgambitia]

So to understand it more concretely can you say it works because e^I{Pdx}dy/dx + e^I{Pdx}Py = Rdy/dx + RPy = d(e^I{P}y)/dx because dR/dx = d(e^I{Pdx} )/dx = Pe^I{Pdx}?