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Questions on creating visualizations from functions or data using high-level constructors such as Plot, ListPlot, Histogram, etc.

5 votes
4 answers
1k views

How to mark a specific line in ContourPlot

I have the next differential equation sol = ParametricNDSolve[{y'[t] == a y[t], y[0] == 1}, y, {t, 0, 10}, {a}] And a Contour Plot of this equation ContourPlot[y[a][x] /. sol, {x, 0, 0.1}, {a, 0 …
No name's user avatar
  • 595
2 votes
1 answer
89 views

Implementation of filling (Colour) [closed]

I have a question. When I use "Filling" Plot[Evaluate[{x^2, x}], {x, 1, 2}, PlotRange -> All, Filling -> {1 -> {2}}] One of the functions appears in orange and the other one in blue, there is some w …
No name's user avatar
  • 595
3 votes
1 answer
530 views

Plotting with "Around"

Or there is some more efficient method than plotting three times? Question 2 If I have a1=Around[1,0.1] how can I get the Maximum value of a1? …
No name's user avatar
  • 595
1 vote
2 answers
84 views

Combining "Do" and NDSolve

I have following code: Two differential equations,each one of them with varying initial conditions Clear["Global`*"] sol1[l0_] := NDSolve[{D[r[x]/(1 + x)^4, x] == 0, r[l0] == 2}, r, {x, 0,1000}, Ac …
No name's user avatar
  • 595
1 vote

Combining "Do" and NDSolve

The suggestion of @MarcoB was really helpful. This is my propose of solution: Clear["Global`*"] sol1[l0_] := NDSolve[{D[r[x]/(1 + x)^4, x] == 0, r[l0] == 2}, r, {x, 0,1000}, AccuracyGoal -> 15]; …
No name's user avatar
  • 595
7 votes
3 answers
2k views

Extracting a function from a Contour Plot

Context to understand the question Suppose that I have the next equation sol = ParametricNDSolve[{y'[t] == a y[t], y[0] == 1}, y, {t, 0, 10}, {a}] And I make a Contour Plot of this equation Cont …
No name's user avatar
  • 595
3 votes
2 answers
181 views

Two different solutions for the same ContourPlot while using AccuracyGoal and WorkingPrecission

I was making a contour plot, of some differential equation however I get two different solutions If I use "AccuracyGoal" and "Working Precision". The question will appear long but most of the post is …
No name's user avatar
  • 595
9 votes
1 answer
163 views

Peculiar behaviour in the implementation of “Filling”

I was working with mathematica and I need to use "Filling", however I notice that it doesn't work when you have "small" numbers, for example if I make the following: Plot[Evaluate[{x + 1, x + 2}], {x, …
No name's user avatar
  • 595