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Just saw this in school as a Year 12 student studying DE's. I noticed your example of horizontal dilation made the substitution (1/2)x rather than (1/2)(x-4). I checked with my teacher and looked on the graphing software GeoGebra and we both agreed that when horizontally dilating you are supposed to multiply in the form a(x-b) rather than ax-b. This may be helpful to note for anyone trying to learn differential equations :)

I love maths so much! I appreciate this video so much, it makes me love learning.

would using babashka make clojure back into a hose?

Thanks for sharing! Great resource.

Lol ur mum

11:16, I think there was a mistake here. the function was f(x)' = x^2/y' But you wrote it as x^2/y with the y value as a normal value instead of in the first differential. Am I missing something?

Good morning, Mr Sinclair, Thank you very much for your hard working and sharing your experience with new syllabus!!!😃 It would be great support to NSW extension 1 students, parents, tutors and new teachers. I found some of your videos on internet and they are very helpful as well. If you don't mind, Can you please do us a favour to share what you can? Of course, you have copyright!😃

Thank you so much for these videos. They have been incredibly helpful. I completed the PD4maths PL you ran and feel much better prepared now. Can I ask how you generated the blank grids for Question 2 for the students to draw a slope field?

Very helpful, thank you Gavin!

Awesome work! Thanks Gavin

Oops...at 26:12 there is a handwritten error where I wrote the expression for y' incorrectly (swapping x and y). Fortunately no harm was done as I actually used the correct expression at 29:16.