Integrating Factor for Constant Rate

[@seamus9898]

In many textbooks (like Stewart Calculus), they use indefinite integrating factor and product rule. Strang uses the definite integral factor & the FTC (fundamental theorem of calculus).

[@rajeevsingh1298]

good point.

[@Sara-ub1oh]

F an stage

[@wimthiels638]

the title says 'integration factor for a constant rate', but it's actually varying rate. that remark aside, great lecture

[@Zonnymaka]

Ok, he lost me at 10:48 M(s)/M(t) shouldn't be a +? M(t) has a negative exponent but it's in the denominator (????) Anyone?

[@Zonnymaka]

Ok, i got it :)

[@Kneecap22]

both functions are negative integrals.

[@fluyid]

It's nice to see Americans use blackboards

[@hathuytu]

the integrating factor M is actually the synchronizing factor. This is true for all kind of fist-order ODE.

[@alanakin9733]

"...ok..."" Gilbert Strang is great!

[@karinasakurai9867]

Can someone explain me why dont use only t instead of t and s? I'm a little confused :S thanks!

[@TheZiliuz]

Because t and s refer to different domains. t is used when working with the time domain and s when working with the frequency domain. The reason why we bother with the frequency domain is that we only need algebra to deal with it! So it gets easier.

[@Electromowls]

t is the real variable “ time” where as ‘s’ , ‘T’ are dummy variables and S doesn’t represent frequency domain in this context.

[@roshanbernard5933]

@@TheZiliuz here it doest represet any freq

[@Amine-gz7gq]

thank god for laplace transform

[@volkerblock]

I will show the video to the bank clerk in my penny bank. Will he understand all?

[@abhisheksinghasia]

Super fast fall vs Super fast Rise at constant rate and that too just by inversion!😂 5:30 Vs 00:00 🥤

[@volkerblock]

@@abhisheksinghasia ok

[@suharsh96]

no offence but I understood very little. any resources to refer to go along with these videos please?

[@debarshimajumder9249]

did you find?

[@freeeagle6074]

Professor Arthur Mattuck's 18.003 is another fabulous resource to learn differential equation. If you learn both courses, you may find it illuminating to compare how the two professors tackle the same concepts with different examples in different areas and may understand those ideas better.

[@sossupummi]

ocw.mit.edu/courses/18-03sc-differential-equations-fall-2011/539a2280949de0de6ec2d420067af6b2_MIT18_03SCF11_s5_1text.pdf

[@ahmedismail1018]

6:22 m=e^-2t^2 not m=e^-t^2 my opinion

[@한기혁]

Ahmed Antar you'd better reread the chain rule

[@qingdai7249]

watch this first: kzbin.info/www/bejne/p3uygoKhf5ylf5o

[@winkguy7358]

M=e^-at. Meat. I was so hungry during this lecture.