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Questions tagged [inverse-function]

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How best to 2D plot nearly vertical function regions?

There has got to be some better way of plotting near vertical function values other than the default 2D Mesh. The only specifications that I want to give are the function definition and the horizontal ...
Carl's user avatar
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1 vote
3 answers
95 views

Inverse Trigonometric Functions and Reduce

equn = {Cos[L/a] == Cos[ph] Cos[del], Sin[gm] == Sin[a ph/L],Sin[si] == Sin[a del/L], Sqrt[1 - Cos[si]^2 - Cos[gm]^2] == a/L} ; NSolve[equn, {ph, si, del, gm}] ...
Narasimham's user avatar
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2 answers
101 views

Getting the inverse function

I have a small problem, I can't get the inverse function. I tried to solve it using InverseFunction, breaking it into parts, but unfortunately it didn’t work. I also tried solving it using Solve. The ...
Vladimir's user avatar
  • 323
2 votes
2 answers
120 views

Simplify inverse of function

This would be a noob question, but I need help simplifying the inverse of an expression ...
Zain Ahmad's user avatar
1 vote
2 answers
109 views

Plot the output of DSolve [duplicate]

I need to plot the output of DSolve. How should I proceed? ...
fp007's user avatar
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1 vote
1 answer
123 views

How is InverseErf related to the inverse normal distribution?

The inverse function of the standard normal cdf is f[x_] := InverseCDF[NormalDistribution[0, 1], x] I also have ...
user1936752's user avatar
4 votes
0 answers
145 views

InverseSeries giving incorrect result

Somehow in Mathematica 13.2.0.0, InverSeries generates incorrect results. Let's look at the following two series that differs from each other by a constant number &...
mastrok's user avatar
  • 601
1 vote
0 answers
61 views

InverseFunction obtained from NDsolve : How to properly NIntegrate the solution?

I am trying to integrate the solution of a differential equation, and i am not sure of the way to proceed correctly. (I precise i am kind of new on Mathematica, and that i have a quite unsufficient ...
Jlomb's user avatar
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0 answers
91 views

DSolve returning an InverseFunction Inactive[Integrate] ProductLog as a solution

When using DSolve I get the below output, a1, b, and c1 are real and positive. ...
James's user avatar
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0 votes
1 answer
123 views

How to Trace the message of Solve::ifun in DSolve?

I want to solve the D.E. about this: m l \[Theta]''[t] == -m g Sin@\[Theta]@t Then, I use Mathematica and type ...
user266771's user avatar
3 votes
2 answers
226 views

Find the inverse of Interpolating function from NDSolve

I have a system of differential equations that I have numerically integrated to produce solutions. See below: ...
Charles's user avatar
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0 answers
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Use Solve solutions as Function when there are multiple solutions on distinct domains

First, I'm sorry if this question is a duplicate. I am very new to wolfram, and I have tried many solutions found here without success. For the context, I have at hand a method to produce successive ...
Borbag's user avatar
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0 answers
153 views

Inverting function variables

The original equation is a function of x. However, I want to invert the function and get an expression of x in terms of y. ...
user444's user avatar
  • 2,446
1 vote
2 answers
82 views

Inverse Function for an example

I have this funtion i would like to calculate the inverse Inverse[Sqrt[1 - Cosh[2 t] + a Sinh[2 t]]] a is positive number.
Felipe Dura's user avatar
0 votes
1 answer
94 views

InverseFunction fails at some parameter

Currently, I am faced with the difficulty of evaluating the inverse of the function below for certain negative decimal values of the parameter q. Specifically for ...
user583893's user avatar
0 votes
0 answers
62 views

Inverse VS Reduce

I got a solution I want to get inverse but it is not working in Mathematica or Rubi: ...
Mathecis's user avatar
  • 153
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1 answer
186 views

Inverse function for a formula

I used this code on Mathematica but it's not showing any result?! ...
Mathecis's user avatar
  • 153
0 votes
2 answers
103 views

Can we compute higher derivatives of an InverseFunction?

We can define an InverseFunction even when the inverse can't be expressed in closed form. ...
Ted Ersek's user avatar
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1 answer
123 views

InverseFunction of ArcTanh and Log [closed]

I solved an equation and one solution was this: ...
Mathecis's user avatar
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0 answers
79 views

Inverse of symbolic hyperbolic function

I have a function $$u = 1/4*\cosh(x)^2$$ Entered in Mathematica as 1/4*Cosh[x]^2 Inverted using ...
Dimitri_896's user avatar
3 votes
1 answer
110 views

Why is Log not acting as an inverse of Power function?

I know -8 = Power[-8,1] or Power[-2,3] so when I evaluate: Log[-8,-8] I get 1 as expected ...
user13892's user avatar
  • 9,443
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0 answers
86 views

Why my code give empty plots? AND When I increase the number of mx , mt my code is running for a long time

In my code, two graphs are not displayed. what is the problem?Also when I increase the number of mx and mt, the code enters the running for a long time. The regularization problem is described as $D^{...
user68119's user avatar
1 vote
2 answers
120 views

Issue visualizing the image of a vertical line under 1/z using ComplexContourPlot

I am using the function ComplexContourPlot to try to get the image of a vertical line under 1/z however I am getting an error. In this case I would like to see the image of 1/z for the vertical line ...
Eduardo's user avatar
  • 113
5 votes
3 answers
113 views

Does Solve make internally assumptions about the domain of the variables?

I recently tried to invert the innocent looking function $\frac{x}{(1+\sqrt{1-x})^2}$ So I tried the command Solve[x/(1 + Sqrt[1 - x])^2 == y, x], which ...
Rohbar's user avatar
  • 137
0 votes
1 answer
98 views

Possible Bug in InverseFunction

MMA 12.1 For quite some time I have been chasing a bug that I could trace down to the following code. As it is not impossible to fool oneself, I would be glad if somebody could verify this before I ...
Daniel Huber's user avatar
  • 52.7k
1 vote
1 answer
107 views

InverseFunction: Precision problem

I define a function SS[t] as an inverse function: ...
Job Stancil's user avatar
3 votes
4 answers
434 views

Numerical Inverse Z Transform?

Is there a way to compute the inverse z-transform in Mathematica numerically? I'm trying to compute the following... ...
PiE's user avatar
  • 437
0 votes
0 answers
187 views

Numerical evaluation of InverseFunction

I am considering the inverse of the function rho[r]. I have used the InverseFunction to find the inverse, given by ry which is a monotonically increasing function of its argument $y$. Now for $1<q&...
user583893's user avatar
0 votes
0 answers
76 views

Second-order nonlinear ordinary differential equation with some conditions

I just started to solve second-order nonlinear ordinary differential equation with boundaries condition I wanted to solve by DSolve but I know should be some ...
Armin Sharafi's user avatar
3 votes
1 answer
176 views

InverseFunction and Plot them

I'm trying plot an inverse function ...
Armin Sharafi's user avatar
2 votes
1 answer
68 views

Solving an equation with compounded functions

This is a Mathematica-based question derived directly from this math question. Given that f[x] is monotonically increasing and ...
David G. Stork's user avatar
4 votes
1 answer
272 views

DSolve returning InverseFunction while I believe the answer isn't so complicated

I was trying to solve the following differential equation: $$A'(y)^2 = -\frac{1}{l^2} e^{-2A(y)} + \frac{1}{L^2}.$$ I know that one possible answer is $$A(y) = \log\left( \frac{L}{l}\cosh\frac{y}{L}\...
user138784's user avatar