This is the integrating factor needed to solve first order linear differential equations. Solving Equations With the integrating factor, solving the equations is relatively straightforward. Solve
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The solution to a linear first order differential equation is then. \[\begin{equation}y\left( t \right) = \frac{{\int{{\mu \left( t \right)g\left( t \right)\,dt}} + c}}{{\mu \left( t \right)}}\label{eq:eq9}\end{equation}\] where
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