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separation principle

Last edited: August 8, 2025

seperable diffequ

Last edited: August 8, 2025

\begin{equation} \dv{y}{t} = a(t)f(y) \end{equation}

are a class of functions are called seperable. We can solve them using the division method

division method

the division method involves solving autonomous ODEs by dividing and treating it normally:

\begin{equation} y’ = 8y \end{equation}

\begin{equation} \frac{y’}{8} = y \end{equation}

we now write something fishy:

\begin{equation} \frac{\dd{y}}{y} = 8 \dd{t} \end{equation}

we now take the antiderivative of this:

\begin{equation} \int \frac{1}{y} \dd{y} = \int 8 \dd{t} \end{equation}

We will get that:

Sequential Organization

Last edited: August 8, 2025

server-clients

Last edited: August 8, 2025

server-clients is a command in Emacs LISP which is used to get the clients of the current running emacsclient server

set

Last edited: August 8, 2025

A set is an unordered collection of objects, which maybe infinitely long. It is generated with \(\{, \}\). For instance, most numbers are sets.

constituents

requirements

  • repetition does not matter
  • order does not matter

additional information