Questions tagged [inverse-function]
The inverse-function tag has no usage guidance.
30
questions
0
votes
2
answers
84
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 ...
- 67
2
votes
2
answers
106
views
Simplify inverse of function
This would be a noob question, but I need help simplifying the inverse of an expression
...
- 25
1
vote
2
answers
104
views
Plot the output of DSolve [duplicate]
I need to plot the output of DSolve. How should I proceed?
...
- 11
1
vote
1
answer
74
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
...
- 259
4
votes
0
answers
134
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 &...
- 591
1
vote
0
answers
60
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 ...
- 11
0
votes
0
answers
71
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.
...
- 1
0
votes
1
answer
115
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
...
3
votes
2
answers
189
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:
...
- 39
0
votes
0
answers
48
views
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 ...
- 101
0
votes
0
answers
125
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.
...
- 1,524
1
vote
2
answers
77
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.
- 447
0
votes
1
answer
92
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 ...
- 181
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:
...
- 153
0
votes
1
answer
151
views
Inverse function for a formula
I used this code on Mathematica but it's not showing any result?!
...
- 153
0
votes
2
answers
95
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.
...
- 6,984
0
votes
1
answer
115
views
0
votes
0
answers
68
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
...
- 163
3
votes
1
answer
109
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 ...
- 9,113
0
votes
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^{...
- 83
1
vote
2
answers
92
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 ...
- 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 ...
- 127
0
votes
1
answer
97
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 ...
- 47.1k
1
vote
1
answer
101
views
3
votes
4
answers
425
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...
...
- 427
0
votes
0
answers
168
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&...
- 181
0
votes
0
answers
75
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 ...
- 143
3
votes
1
answer
165
views
2
votes
1
answer
67
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 ...
- 39.8k
4
votes
1
answer
266
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}\...
- 143