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0
votes
1answer
61 views

Eliminating parameter from parametric equation

In Mathematica Online I tried: Eliminate[{x == t + t^3, y == t - t^3, z == 1 + t^4}, {t}] ...
0
votes
0answers
39 views

ParametricPlot3D doesn't work with components of a vector input

I can't understand why ParametricPlot3D works, when the input is a vector and does not work, when the input is separated components of the vector (it returns an empty plot). The same happens for ...
0
votes
1answer
41 views

What's wrong with the code?

The following code doesn´t fill the base of the picture. ¿Why? ...
0
votes
2answers
172 views

Not seeing plot of solution returned by NDSolve

I am having trouble with generating a parametric plot with the following code: ...
0
votes
1answer
65 views

Use ParametricNDSolve with Plotting

I am attempting to solve a differential equation of the form $$ \frac{dx}{dt}=ax+by \\ \frac{dy}{dt}=cx $$ with parameters $0<a<1$ and $a,b,c \in \mathbb{R}$. I am able to use NDParametric ...
0
votes
1answer
82 views

Plotting Complex Numbers - Functions of Complex Numbers [duplicate]

So I have to generate a few different plots with z, where z is a complete number... z[x_, y_] := x + y*I F[z_] := (25*Pi*z*I)/(1 + 10*Pi*z*I) First, I need to ...
1
vote
2answers
63 views

Finding roots of a function with a varying parameter

So I'm brand new to Mathematica, and basically what I want to do is find the roots of a function at varying time intervals. The function I'm using is: ...
0
votes
0answers
37 views

System of ODEs with Parameters

FYI: I am new to Mathematica so my questions are probably pretty amateur. I am attempting to write a code to numerically solve the system of equations: {dp/dt= ap-bpx {dx/dt= spx-yx where t is the ...
1
vote
1answer
166 views

Solve a system of parametric equations

I have a system of parametric equations (with a total number of 8). I tried to solve this system by using Solve. I have not received an answer after about 4 hours! ...
0
votes
0answers
32 views

Plotting the Schwarz D minimal surface

With the aid of the following paper I'm trying to plot the Schwarz D minimal surface: paper. So far I have followed all the instructions to the best of my abilities and have come up with the following ...
-4
votes
1answer
66 views

NDSolve a differential equation depending on some parameter

I have to solve the differential equation, to get a plot of T and R, ...
4
votes
2answers
182 views

How to plot this region?

Consider the $2\times 2$ matrices \begin{align} A=\begin{bmatrix} a_{11} & a_{12} \\ a_{21} & a_{22} \end{bmatrix} \end{align} and \begin{align} B=\begin{bmatrix} b_{11} & b_{12} \\ ...
0
votes
0answers
124 views

Find $\phi$ as function of $\theta$ for Villarceau circle in a torus

May I request for your indulgence, to enable Villarceau circles visualization made by the tip of a line rotating inside a circular torus if possible based on unification of parameters. EDIT2: ...
4
votes
1answer
137 views

ParametricPlot3D: The Mesh shows some unexpected wires to the origin. How to remove them?

In the code below a hexagonal shape is defined and plotted. The ParametricPlot3D shows the hexagonal design almost as intended. However, the mesh makes some strange "wires" to x=y=0. This is ...
0
votes
0answers
35 views

Plotting the real positive solution to a parametric equation [duplicate]

I have the following parametric equation $$ x^2-a=0 $$ where $a$ is a given parameter. I would like to plot the nonnegative real root ($\sqrt{a}$) using NSolve as $a$ varies from $0$ to $1$. Can ...
2
votes
1answer
99 views

ParametricNDSolve problem

when i use ParametricNDSolve, the output is not a explicit function, for example: ...
2
votes
2answers
198 views

How do you create such an animated GIF via Mathematica?

Is it possible to create such kind of GIF via Mathematica?
1
vote
1answer
143 views

Plotting knot torus

I'd like to plot together a torus and a knot on it, that is, closed curve wrapping around the torus, $m$ times around a circle and $n$ times around the other circle. It will be used to explain ...
2
votes
2answers
151 views

cycloid parametric [closed]

How do I enter 3 parametric equations for cycloids corresponding to circles with radii 1, 2, and 4. I have tried ...
-1
votes
1answer
131 views

Syntax errors in mollusk shell function plot [closed]

I would like to reproduce this plot with Mathematica: In fact, both the mathematical background of such plot, and its implementation in Mathematica are here. This code is from web page I linked ...
1
vote
2answers
112 views
0
votes
2answers
224 views

Simplify trigonometric equation knowing that $\sin(a)=n \sin(b)$

I was working on a problem involving trigonometry. I used Mathematica to help me in solving it. I ended up with this formula: ...
4
votes
4answers
589 views

Visualizing Line Integrals

I have a plane curve $C$ described by parametric equations $x(t)$ and $y(t)$ and a function $f: \mathbb{R}^2 \rightarrow \mathbb{R}$. The line integral of $f$ along $C$ is the area of the "fence" ...
0
votes
1answer
64 views

RegionPlot Difficulty

This code: Plot3D[ArcTan[Tan[y/x]], {x, -1, 2}, {y, -2, 1}, RegionFunction -> Function[{x, y}, 1 <= x^2 + y^2 <= 4 && y <= x]] Give this ...
1
vote
2answers
195 views

How can I plot a 3-variables function to identify the neutral surface and a region

I wanted to plot a 3-D solid region, in which my function f(x,y,z)= x (1/(1 + 0.06))^3 + y (1/(1 + 0.06))^2 + (2 z^2)/15 (Sin[10 Degree])^2 -z/3 Cos[10 Degree] ...
1
vote
1answer
126 views

Filling between ParametricPlot and Plot

There are some similar questions: (1) (2) have been ask, but I think this is a different one. If we have a ParametricPlot and a ...
0
votes
0answers
80 views

Add constraints to a variable number of parameter in Minimize

i want to use Minimize with a variable number of Parameter which works fine: ...
7
votes
1answer
348 views

Oval or Bunimovich stadium

The dynamic billiard demonstration, that can be found on wolfram demonstrations (here), is only designed for an ellipsoid-shape boundary(snapshot below). The idea is to have a dynamic billiard with ...
1
vote
2answers
539 views

Eliminating the Parameter: Transform parametric equation to Cartesian equation and draw arrows along parametric growth

Hey guys I really could use some help on this calc 3 problem. I'm stuck on how to write the code for this problem: a) Eliminate the parameter to find a Cartesian equation for a parametric curve. b) ...
0
votes
1answer
110 views

PolarPlot works, ParametricPlot doesn't

Am new to Mathematica, so if this question has been asked already, apologies. Have a (polar) spline function and Mathematica did a fine job of calculating from my inputs and giving me the piecewise ...
2
votes
2answers
130 views
4
votes
3answers
181 views

I need to remove a line from a ParametricPlot

What happens is that when I make this ParametricPlot: ...
2
votes
3answers
282 views

How can I get the function of a plotted trajectory? [closed]

I solved two ODEs, which are a function of t, numerically. The first ODE is the vertical equation of motion and the second one is the horizontal equation of that ...
1
vote
1answer
84 views

FindRoot error, Solving equations [closed]

I'm trying to solve this problem but FindRoot function seem unable to find the root when r equals 4. ...
0
votes
3answers
90 views

Parametric Equation with restrictions on the independent variable [closed]

I'm sorry if this question was answered but I am completely new to Mathematica, really learning as I go (background in Java). The questions I looked at that were suggested didn't make much sense with ...
2
votes
1answer
120 views

Piecewise conditions with a parametric PDE

I'm using ParametricNDsolve to check best fit of a model (function Eb1) with some data, and I have four free parameters I want to test. I can easily construct a Parametric solution between the two ...
0
votes
0answers
53 views

Pass model parameters to NDSolve'Reinitialize

I am wondering if there is a way to pass parameter values during the NDSolve'Reinitialize step of the NDSolve process? I've read that one way to possibly speed up repeated calls to NDSolve is to ...
1
vote
1answer
72 views

Density plot of asymptotic behaviour of a linear system

Good morning, I have an ODE linear system $\dot{\vec f} = A \vec f$ depending parametrically to two real parameters, s and p. I'd like to get a density map of the solutions of $f_A/(f_A+f_B)$ at ...
24
votes
5answers
1k views

Fitting points to tilted, off-center ellipse

I have 24 x-y points that are supposed to form an ellipse. ...
3
votes
1answer
504 views

How to create these famous surfaces in topology with the desired color effects?

It was said such real objects of famous topological surfaces were plotted by the cooperation between mathematician Richard Palais and artist Luc Benard, and published as the cover page of Science ...
2
votes
3answers
352 views

Marking specific points on a 3D curve

Here is the curve below. (written as a position vector) r = {Cos[7 Pi*t], Cos[6.2*Pi*t], 2.5*t} ParametricPlot3D[r, {t, 0, 2}] I want to know how I can mark ...
3
votes
1answer
161 views

Partial zeta curlicues

I asked a question at MSE and Raymond Manzoni provided an excellent answer that included these visuals: I made a very basic attempt at recreation with ...
2
votes
2answers
138 views

Finding the intersection of curves in a one-parameter family [closed]

I have a function f[c_] := y^2 - 2 x^2 (x + 3) == c ((y + 1)^2 (y + 9) - x^2) I need to find the points of intersection between the plots of f[0] and f[2]. How ...
0
votes
0answers
63 views

Plotting surfaces described by redundant variables - Alternatives to use of Eliminate + ContourPlot3D

Suppose I want to plot a surface defined by equations involving redundant variables. Consider, for example, plotting the surface defined by the equations: $$ \left\{ \begin{array}{l} \cos x + \sin y = ...
0
votes
1answer
437 views

How to the take derivatives of a parametric function? [closed]

I have a parametric curve of the form $x(t)=2t^3+3t^2-12t,\ y(t)=2t^3+3t^2+1$ How do I take the derivative of that function in Mathematica? Is there a certain function I should use?
0
votes
1answer
80 views

Define function that goes from one point to another parametrically

I have two points p1 and p2, and I want to get the parametric equation of a linear function that passes through those, but ranging from one point to another. For example, if I have 2 points {0,0} and ...
1
vote
2answers
280 views

Parametric 3D plot with parameters satisfying an implicit equation

I am trying to plot a function $ {\bf x}(t) = r(t)\hat{v} + {\bf b}(t) $, with unit vector $ \hat{v} $ and vector $ {\bf b}(t) $ given in spherical coordinates. For simplicity, assume that $ \hat{v} = ...
4
votes
2answers
395 views

Intersection of Osculating Circle with a Parametric Curve

I have the following Parametric plot Generated from the following: ...