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@@ -81,14 +81,14 @@ $\nicefrac{d^nf}{dx^n}$, the derivative of the $n$'th order. A method for
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obtaining a differential equation is to derive it from the semantics of a
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problem. For example, in physics a differential equation can be derived from the
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law of the conservation of energy~\cite{Demtroeder2021}. Differential equations
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-find application in several areas such as engineering \eg, the Kirchhoff's
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-circuit laws~\cite{Kirchhoff1845} to describe the relation between the voltage
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+find application in various areas, such as engineering \eg, the Kirchhoff's
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+circuit laws~\cite{Kirchhoff1845} to describe the relation between voltage
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and current in systems with resistors, inductors, and capacitors; physics with,
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-\eg, the Schrödinger equation, which predicts the probability of finding
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+\eg, the Schrödinger equation to predict the probability of finding
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particles like electrons in specific places or states in a quantum system;
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-economics, \eg, Black-Scholes equation~\cite{Oksendal2000} predicting the price
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-of financial derivatives, such as options, over time; epidemiology with the SIR
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-Model~\cite{1927}; and beyond.\\
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+economics, \eg, Black-Scholes equation~\cite{Oksendal2000} to forecast financial
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+derivative prices; epidemiology with the SIR Model~\cite{1927}; and
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+beyond.\\
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In the context of functions, it is possible to have multiple domains, meaning
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that a function has more than one parameter. To illustrate, consider a function
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FlipediFlop