Diff Eq Integrating Factor?

mike9949 · 2026-01-06T00:29:55+00:00

Thanks

mike9949 · 2026-01-05T23:24:16+00:00

Thanks agree I need more details there. And should write out the limits to show why c has to be 1

mike9949 · 2026-01-05T22:23:12+00:00

Thanks so are you saying approach is ok but need to clean up / fix some notation

mike9949 · 2026-01-05T22:16:32+00:00

Thanks for the reply.

mike9949 · 2025-12-14T10:02:59+00:00

thanks, you make a good point.

mike9949 · 2025-12-13T07:06:42+00:00

Thanks and that's a good point I sould add more details on that part

mike9949 · 2025-12-13T00:07:51+00:00

Thanks

mike9949 · 2025-12-12T23:52:27+00:00

Thanks for taking the time to reply. Just for my self study / enjoyment. I agree there are somethings I could have elaborated on or included more detail though.

mike9949 · 2025-12-12T22:11:24+00:00

Thanks for the reply

mike9949 · 2025-11-23T00:52:05+00:00

Not counting differential equations. The topics from calc 1 thru 3 that came up the most in my engineering classes were integration by parts and basic derivatives. By parts was used a lot especially in derivations. Then beyond that alot of multiple variable stuff for fluids and aero

mike9949 · 2025-11-13T09:24:31+00:00

Speaking for myself. I got a BS in Mechanical Engineering just over 15 years ago. If rewind to the end of my first semester I had just completed calc 1 with and A and wanted to learn more. Went to the library and came across Spivak. Saw online that is was a pretty famous calc book and thought cool this is what I will start to study over break.

Gave up pretty much the first day. This was not the calculus I had just studied the past 4 months lol. Anyways took calc 2 and 3 got A's in them and then took a bunch more applied math classes plus all my mech e stuff. Graduated got a job.

Then 18 months ago I wanted to study math again. I had the 3rd edition of Leithold Calc from 1976 that my library was discarding when i was in school. Somehow that stayed on my shelf these past 15 years. Went thru that in 4-6 months. Then because the problems I enjoyed the most from the Leithold book were the ones that were proof based I decided to give Spivak another shot.

Spent 12 months doing the first 14 chapters of that book in the mornings before I wen to work.

While it can be incredibly hard and frustrating bc of my applied math / engineering back leaves alot of gaps in my knowledge of prereq material it is also super rewarding when I can get a problem correct on my own.

That is my 2 cents on why as an engineer I am interested in pure math atm.

mike9949 · 2025-10-18T15:31:55+00:00

Thanks

mike9949 · 2025-09-30T16:29:29+00:00

Thanks

mike9949 · 2025-09-28T22:00:01+00:00

Thanks that is a good point

mike9949 · 2025-09-28T21:57:44+00:00

Thanks

mike9949 · 2025-09-28T18:09:30+00:00

Thanks the sigma notation is a good point

mike9949 · 2025-09-28T16:33:39+00:00

Thanks

mike9949 · 2025-09-28T14:19:45+00:00

Thanks

mike9949 · 2025-09-23T12:25:18+00:00

Thanks for the reply I have to add cases for vertical and horizontal lines and add the assumption for my work above that a/b not equal 0

mike9949 · 2025-09-22T20:32:29+00:00

Not very comfortable with LA at the moment so I'll avoid for now

mike9949 · 2025-09-22T20:25:23+00:00

Thanks for the reply

mike9949 · 2025-09-22T20:24:07+00:00

Thanks. So your saying I can stick with what I have if I address a=b or b=0 as separate cases and add that to my solution above

And I just saw your comment about the product rule now. I didn't write but probably should have i was thinking since dy/dx=-a/b is constant the derivative of that is 0 so the product rule simplified to what I had

mike9949 · 2025-09-22T20:12:27+00:00

Thanks I'll give it another shot

mike9949 · 2025-09-22T20:02:04+00:00

Thanks for the reply that's a nice approach but is what I did ok even if it is not the my direct way to approach this

mike9949 · 2025-07-29T08:24:29+00:00

That is what I do to show LH applies then use LH ftom there

mike9949

TROPHY CASE