Questions tagged [inverse-function]

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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. ...
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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.
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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 ...
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Inverse VS Reduce

I got a solution I want to get inverse but it is not working in Mathematica or Rubi: ...
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Inverse function for a formula

I used this code on Mathematica but it's not showing any result?! ...
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Can we compute higher derivatives of an InverseFunction?

We can define an InverseFunction even when the inverse can't be expressed in closed form. ...
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InverseFunction of ArcTanh and Log [closed]

I solved an equation and one solution was this: ...
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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 ...
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3 votes
1 answer
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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 ...
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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^{...
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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 ...
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3 answers
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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 ...
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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 ...
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InverseFunction: Precision problem

I define a function SS[t] as an inverse function: ...
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Numerical Inverse Z Transform?

Is there a way to compute the inverse z-transform in Mathematica numerically? I'm trying to compute the following... ...
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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&...
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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 ...
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3 votes
1 answer
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InverseFunction and Plot them

I'm trying plot an inverse function ...
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1 answer
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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 ...
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1 answer
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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}\...
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