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Different style of filling in x direction


I have the following curves:


linea = Line[{{0.1, 0}, {0.1, 50}}]; Show[
Plot[{2/Abs[a], 3/Abs[a], 4/Abs[a], 6/Abs[a]}, {a, 0, 1},
Mesh -> {{0.1, 1}}, MeshShading -> {Dashed, Automatic, Dotted},
MeshStyle -> None, Filling -> {1 -> Axis},
PlotStyle -> {Thickness[0.005]},
Ticks -> {{0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1},

Automatic}, AxesOrigin -> {0, 0},
Epilog -> {Directive[Black, DotDashed], PointSize[.015], linea}]]

I would like to plot filling option with two different styles: for 0 < a < 1 light grey, for a>1 grey. How can I obtain this option? Moreover, how can I grow up the size of dash in DotDashed style of linea? Thank you



Answer



colors = ColorData[1, "ColorList"][[{1, 1, 2, 3, 4}]];
linea = Line[{{0.1, 0}, {0.1, 50}}];
Plot[{ConditionalExpression[2/Abs[a], a <= .1],
ConditionalExpression[2/Abs[a], a >= .1], 3/Abs[a], 4/Abs[a], 6/Abs[a]}, {a, 0, 1},
Mesh -> {{0.1, 1}}, MeshShading -> {Dashed, Automatic, Dotted}, MeshStyle -> None,

Filling -> {1 -> {Axis, LightGray}, 2 -> {Axis, LightBlue}},
PlotStyle -> Thread[Directive[colors, Thickness[.005]]],
Ticks -> {{0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1}, Automatic},
AxesOrigin -> {0, 0},
Epilog -> {Directive[Black, Dashing[{0, Small, Large, Small}]], PointSize[.015], linea}]

enter image description here


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