# Questions tagged [inverse-function]

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### 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 ...
106 views

### Simplify inverse of function

This would be a noob question, but I need help simplifying the inverse of an expression ...
1 vote
104 views

### Plot the output of DSolve [duplicate]

I need to plot the output of DSolve. How should I proceed? ...
1 vote
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 ...
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 &...
1 vote
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 ...
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. ...
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 ...
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: ...
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 ...
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 vote
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.
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 ...
62 views

### Inverse VS Reduce

I got a solution I want to get inverse but it is not working in Mathematica or Rubi: ...
151 views

### Inverse function for a formula

I used this code on Mathematica but it's not showing any result?! ...
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. ...
115 views

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 ...
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 ...
86 views

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 ...
165 views

### InverseFunction and Plot them

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