# Questions tagged [implicit]

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### Fitting data for an implicit function with two parameters

I have an implicit function of independent variable sB and dependent variable H with two parameters ...
400 views

### How to plot a surface given implicitly by 3 equations in 5 coordinate variables?

I have 3 implicit equations in 5 variables: $f_1(S, y_h, y_d, x_h, J)=0$, $f_2(S, y_h, y_d, x_h, J)=0$, and $f_3(S, y_h, y_d, x_h, J)=0$. These equations determine a 3D surface in $S-y_h-y_d$ ...
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### Parametrization of intersections

How may we find (at least one real) intersection parametrizations $x(t),y(t),z(t)$ between two implicit surfaces? p=9; ContourPlot3D[{x^2-y-(z-1)^2==1,(x+1)^2+2Sin[3y]-3z==4},{x,-p,p},{y,-p,p},{z,-p,...
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### Confusing behaviour of EvaluationMonitor in NIntegrate when integrating on a implicit region

I am dealing with some complex integral and I just need an approximate result(have a precision of about 4 digits) for it. Thus I just need to do the integral by sampling at as less points as possible ...
109 views

### Exp[-690255.2204176334] is too small to represent as a normalized machine number; precision may be lost [closed]

I'm trying to visualize the relationship of maximum temperature $(T_{m})$ with the heating rate with Randall-Wilkins theory for an energy depth of 0.85 eV. The Randall-Wilkins expression used is ...
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### How to numerically integrate past singularities? [duplicate]

Is there any way to numerically integrate a differential equation where you know there are singularities? Can one "skip" over the singularity by using some type of implicit solver? Can one ...
117 views

### Why AsymptoticSolve doesn't work for a multivariate implicit function?

I started by defining ...
326 views

### Trying to solve an implicit equation, Mathematica gives the equation itself as output [closed]

The equation that I am trying solve is: ...
184 views

### Centroid of an implicitly defined plane region

An implicit curve could be something such as: $$(x/exp(y))^2+y^2=1,$$ Code: (x/Exp[y])^2 + y^2 == 1 which is the boundary of a plane region. How can its centroid ...
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### Solving implicit function

I'd like to solve for a variable in an expression which is in implicit form. See below. If the u1 and u2 functions below were ...
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### How to find the derivative of one matrix with respect to another?

I have an expression from a continuum model,which looks somewhat like this excluding a few constants. Here epsilon is the 3x3 strain tensor and sigma is 3x3 stress tensor. I wish to compute the ...
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1 vote
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### how to plot the function in the following

$$\Phi=e^{-\xi}*\cos\eta-\xi$$ $$x=\cosh\xi*\cos\eta$$ $$y=\sinh\xi*\sin\eta$$ how to plot streamline $\nabla\Phi$ in x-y coordinate.
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### AsymptoticSolve for Taylor Expansion of Implicit Function

I have an implicit function ...
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### Resolve a custom implicit equation

Consider the following non-linear equation: $$k x = \frac{\frac{9}{4}-y^{22/25}}{2\ 2^{19/25} y^{22/25}-\frac{9}{4} \left(10 y+e^{-y}\right)^{22/25}-1}$$ where k ...
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### Find implicit function from [closed]

I'm trying to find implicit function. I have four parametric equations for functions T := T[x,y,z] X := X[x,y,z] Y := Y[x,y,z] Z := Z[x,y,z] And I want to find a ...
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### How to draw sectional plot for a 3D parameter equation?

How to draw sectional plot for a 3D parameter equation? Firstly, the MMA code is given as ...
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### Compare MMA program with MATLAB program by plotting the same equation

Cross-posted in Wolfram Community. Firstly, the MATLAB program is ...
• 115
180 views

### Solving implicitly a trigonometric equation

I am trying to solve this equation with respect to L: L== ((9.81*T^2)/(2*Pi)) Tan[2Pi*d/L] Since you have the unknown ...
131 views

### A system of ordinary differential equations is being recognized as a DAE

I want a function auxiliarfunction that depends on two variables: ρh and ν. I need to plot ...
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### Problem with NDSolve regarding initial conditions of the derivative of a parametric function

I have a function functiontoplot defined using the following piece of code: ...
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### Branches of a curve defined implicitly

I have the variable functiontoplot, defined using the following piece of code: ...
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### Plotting a curve defined implicitly

I have defined the function functiontoplot using the following piece of code: ...
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1 vote
97 views

### Implicit function in an ODE when using DSolve

I'm trying to solve an ODE with DSolve. The problem I'm facing is that in the ODE there appears an implicit function of the variable r*. The equation I'm trying to solve is ...
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407 views

The code ...
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### Problems plotting ImplicitRegion

I have run into some rather strange behavior regarding plotting over regions defined by ImplicitRegion. I have a condition given by ...
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### Imaginary variables in ImplicitRegion

I am using the function ImplicitRegion[]. RegionPlot[ImplicitRegion[x^2 + y^2 == -1, {x, y}]] which gives me a circle, though in the documentation variables are ...
163 views

### Sweep, scale, and rotate implicit 3d region or contour plot along an arbitrary curve

Suppose I have a 3d region or contour that is implicitly defined and has no explicit parameterization. This is easy to plot, as RegionPlot3D and ContourPlot3D allow implicit functions. But now I want ...
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1 vote
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### Finding the arc length of a region defined implicitly with an interpolated function

I begin by defining an interpolation of some data I have stored at this link for brevity. The interpolating function is a function of two variables, x and ...
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1 vote
130 views

### Composition of implicit functions

Let me explain what i have been doing so far. So I want to find an numerical solution or at least a grafic solution to this equation: ...
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1 vote
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### DSolve: lack of implicit option (unlike Maple's dsolve built-in option)

I am working with the book 'Differential Equations for Engineers' (Cambridge University Press). The author dedicates one chapter of the book in solving ODEs with Maple. The book was published in 2010. ...
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1 vote
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### How do I plot two normalized variables with one varying parameter as a 2d plot or a contour plot?

I'm trying to replicate a plot that has both (x,y) normalized variables, I've tried using Evaluate and Contourplot with no success. I have set Rn=20, but it should be another variable. Where Fn=fs/fr, ...
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1 vote
115 views

### Improve performance of evaluating over an implicit region

Consider the following implicit region: ...
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### Implicit differentiation such that I an numerically solve an equation [closed]

If I have some function: N(t) = N0e^(bt) where b is a function of N(t). How do i calculate dN/dt? It gives me a recursion warning since it's just caught in a loop of substituting in N(t) into b over ...
488 views

### Plot involving an implicit function

I'm trying to make a plot that depends on an implicit function. This example illustrates the problem: plot $c=2l +n$ in the $c \times l$ axes, where $n$ is implicitly determined by $n^5+ 2n = c^2$. ...
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### Solving the Shifted Neutral Axis Problem

Problem Description: In solving the "Shifted Neutral Axis" method for the stress distribution of a vertical steel vessel supported on a concrete foundation, we can derive the following ...
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### Plot implicit polar equation streamlines

I'm trying to plot streamlines of Stokes solution to an sphere, the expression of streamlines is I've seen similar questions before and this what I have tried As you can see, a=1, U=1, but it seems ...
92 views

### Large system of implicit differential equations

We are trying to solve a large system of implicit system of differential equations for complex variables $\boldsymbol{\alpha}\left(t\right)$ and $\boldsymbol{\lambda}\left(t\right)$. System consists ...
251 views

### Solve transcendental equation involving a built-in function [closed]

How can I solve an equation of the following form? $$x = 10+\mathrm{\mathbf{PrimePi}[x]}$$ where $x$ is an integer. I am using Solve but am getting the following ...
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### Interval arithmetic and implicit function inside test

I has implicit function and square region. I need to check this region for presence of part of curve, with interval arithmetic only. My attempt: ...
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### Can we convert any parametric equation to implicit form?

The Archimedes spiral equation in parametric form: fx[t_] := Cos[t]*t; fy[t_] := Sin[t]*t; How can it be converted to implicit form? Is there a general method ...
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### How can I get paired coordinates from the implicite function?

I have equation E^y = x. How can I use Mathematica to solve all of "y" from the desired "x" value. For example, I want to solve for "y" from x = 0.5 , 1 , 1.5 , 2 , .... , 9.5 , 10. The solution ...
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I have the following two implicit equations that are functions of a parameter $f \in (.5,1]$. I would like to solve these two equations (i.e get $\sigma_D$ and $\sigma_M$) for different $f$ values and ...