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Worksheet Key Terms & Concepts
β³οΈ Integrating Factor.
First-Order Linear Differential Equation
These equations take the standard form:
\begin{equation*}
y' + P(x)y = Q(x).
\end{equation*}
Integrating Factor
A function, \(\mu\text{,}\) multiplied onto the standard form, above, to reverse the product rule, leading to the equation, \(\mu' = P\mu\text{,}\) with the solution
\begin{equation*}
\mu = e^{\int P(x) dx}.
\end{equation*}
Integrating Factor Method
A solution method for first-order linear equations that uses an integrating factor to convert the equation into a form solvable by direct integration.
