solving equations with discontinuous forcing functions -- differential equations 20

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[thomashoffmann]

29:30 the 2 in front of the exponential pops out of nowhere. Probably it's missing in the first line already (?)

[ntuneric]

18:04 1/(s^2+1) is the laplace transform of sin(t) so you should have 2u(t-π/2)sin(t-π/2) instead of cos

[thomashoffmann]

15:40 one minus got lost when moving the 1 to the right side.
And in the fraction decomposition the right numerator should be s instead of 1.
Hm..the last line on the board should end with... + 1/(s^2+1) because it's from splitting the first fraction.

[omfgmx]

Nice video, as always. Both of these functions are used in control theory pretty extensively.

[samuelmarger]

As much as I love your content, there are some quite big mistakes in this video that I might it should be redone.

The PFD of 1/[s(s²+1)] should be 1/s - s/[s²+1]. (Notice the second term.)
And in the last problem before warm up, you seem to either have forgotten a 2 before the last term in the problem statement, or to have inserted a 2 during the solution. (... 2*delta(t-pi))

Other than that, cheers. Also, Prof, I think you should really be more thorough checking your work before publicizing it.

[wolliwolfsen]

16:44 After p.f.d. I can reproduce the first and last two terms on the bottom line. But what happened to the (2s+1)/(s^2+1) from the previous line?

[wolliwolfsen]

15:15 Shouldn‘t it be 2s-1…. on the rhs?

[lanarylie]

I really enjoyed this video! Get to the top fast > Promo-SM!!!