Using differential operators to get approximate or exact solutions to linear differential equations, an example with RC circuits

Differential Forms and Integration - Terence Tao. This is a masterful presentation on the topic and his explanations are as clear as any I’ve ever read in either book o...

ClaudiaDlaFuent asked Jun 21, 2022

by ClaudiaDlaFuent

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Booksmart asked Jun 21, 2022

Any good or equal alternatives to Microsoft Mathematics?

Booksmart asked Jun 21, 2022

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JagadishShettar asked Jun 21, 2022

Why can more general problems — paradoxically — be easier to solve or prove? (from maths codidact)

JagadishShettar asked Jun 21, 2022

by JagadishShettar

sciorama · Answer 1 · 2022-06-21T14:18:39+0000

\*Sigh\* have people forgotten about Laplace transforms now ... you use them even in infinite dimensional settings properly study operator semigroups for partial differential operators to provide a proper framework.

itsnotsonia · Answer 2 · 2022-06-21T14:18:39+0000

I don't really see why anyone would use this when we have a pretty complete theory of linear ODEs / linear DAEs. If you want to solve f(t) + af'(t)=g(t) just use the matrix exponential formula...

IAU_ICT · Answer 3 · 2022-06-21T14:18:39+0000

Interestingly enough, this is basically identical to work Oliver Heaviside did in electrical circuits, or at least very close. The result was basically identical to using the Laplace transform for circuits.

Using differential operators to get approximate or exact solutions to linear differential equations, an example with RC circuits

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