TikZ: Thick curve segment in a curve

Is it possible to draw thick curve between (2,2) (4,3). Remaining portion must be thin.

\documentclass{article}
\usepackage{tikz}

\begin{document}
\begin{tikzpicture}
\draw [blue] plot [smooth] coordinates {(0,0) (2,2) (4,3) (5,5) (0,10)};
\end{tikzpicture}
\end{document}

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1)

Here is a simple solution (via clip action) for your specific MWE.

\documentclass{standalone}
\usepackage{tikz}
\def\mycoordinates{(0,0) (2,2) (4,3) (5,5) (0,10)}
\begin{document}
\begin{tikzpicture}
\draw [blue,thin] plot [smooth] coordinates {\mycoordinates};
\begin{scope}
\clip (0,2) rectangle (5,3);
\draw [red,very thick] plot [smooth] coordinates {\mycoordinates};
\end{scope}
\end{tikzpicture}
\end{document}


2)

Here is more general solution (via show path construction decoration).

The style between style requires three arguments: {<coord#1>}{<coord#2>}{<special style>}. The special style is applied on segments between coord#1 and coord#2.

\documentclass{standalone}
\usepackage{tikz}
\usepackage{ifthen}
\usetikzlibrary{decorations.pathreplacing,decorations.markings}
\newcounter{pos}
\tikzset{
initcounter/.code={\setcounter{pos}{0}},
style between/.style n args={3}{
postaction={
initcounter,
decorate,
decoration={
show path construction,
curveto code={
\pgfmathtruncatemacro{\min}{#1 - 1}
\ifthenelse{\thepos < #2 \AND \thepos > \min}{
\draw[#3]
(\tikzinputsegmentfirst)
..
controls (\tikzinputsegmentsupporta) and (\tikzinputsegmentsupportb)
..
(\tikzinputsegmentlast);
}{}
}
}
},
},
}
\begin{document}
\begin{tikzpicture}
\draw [
style between={2}{4}{red,thick},
style between={5}{8}{green,very thick},
blue,thin] plot [smooth]
coordinates {(0,0) (4,0) (2,4) (1,1) (3,1) (1,3) (0,1) (1,0) (4,4)};
\end{tikzpicture}
\end{document}

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