Questions tagged [inverse-function]

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47 views

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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1answer
65 views

Inverse function for a formula

I used this code on Mathematica but it's not showing any result?! ...
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2answers
76 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. ...
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1answer
77 views

InverseFunction of ArcTanh and Log [closed]

I solved an equation and one solution was this: ...
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0answers
56 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 ...
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1answer
89 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 ...
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0answers
74 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^{...
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2answers
53 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 ...
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3answers
98 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 ...
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1answer
75 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 ...
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1answer
77 views

InverseFunction: Precision problem

I define a function SS[t] as an inverse function: ...
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4answers
263 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... ...
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0answers
78 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&...
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0answers
63 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 ...
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1answer
92 views

InverseFunction and Plot them

I'm trying plot an inverse function ...
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1answer
61 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 ...
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1answer
218 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}\...