# 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 ...
• 717
1 vote
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}] ...
• 3,170
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 ...
• 323
120 views

### Simplify inverse of function

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

### Plot the output of DSolve [duplicate]

I need to plot the output of DSolve. How should I proceed? ...
• 11
1 vote
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 ...
• 259
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 &...
• 601
1 vote
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 ...
• 11
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. ...
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 ...
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: ...
• 39
53 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
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. ...
• 2,446
1 vote
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.
• 445
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 ...
• 181
62 views

### Inverse VS Reduce

I got a solution I want to get inverse but it is not working in Mathematica or Rubi: ...
• 153
186 views

### Inverse function for a formula

I used this code on Mathematica but it's not showing any result?! ...
• 153
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. ...
• 7,134
123 views

• 153
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 ...
• 163
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 ...
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• 181
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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 ...
176 views

### InverseFunction and Plot them

I'm trying plot an inverse function ...
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 ...
• 41.6k
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}\...