Great video. 21:34 ; shouldn't it be p(x) = 0, since dN/dx = d(1)/dx = 0 ?
@MoreinDepth
22 күн бұрын
That's right, my mistake! :=)
@johnstuder847
5 күн бұрын
This looks very powerful. I think it could be a huge help to understanding calculus, differential equations, PDE’s, etc. Reminds me of ‘completing the square’, but for calculus instead of algebra. Could you give a sense of how big a class of practical differential equations it applies to, and a few more examples?
@MoreinDepth
Күн бұрын
That's a great way to look at it! As we prove in the video, integrating factors apply to any first order DE with a solution, and they can be used to reduce a lot of higher order equations into first order as well. Though this works in theory, there is no guarantee that you can actually compute the integrating factors. They can be very difficult to construct, or the integrals may be unsolvable!
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