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\newsection
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\newsection
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\section{Differential Equations}
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\section{Differential Equations}
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\input{parts/diffeq/00_intro.tex}
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\input{parts/diffeq/00_intro.tex}
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\input{parts/diffeq/linear-ode/00_intro.tex}
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\newsection
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\newsectionNoPB
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\subsection{Linear Differential Equations}
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\subsection{Linear Differential Equations}
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\compactdef{Linear differential equation of order $k$}
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$y^{(k)} + a_{k - 1}y^{(k - 1)} + \ldots + a_1 y' + a_0 y = b$, with $a_i$ and $b$ functions in $x$.
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If $b(x) = 0 \smallhspace \forall x$, \bi{homogeneous}, else \bi{inhomogeneous}
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