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. ...
• 449
1 vote
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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.
• 391
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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 ...
• 171
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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: ...
• 105
67 views

Inverse function for a formula

I used this code on Mathematica but it's not showing any result?! ...
• 105
85 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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• 105
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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 ...
• 163
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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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• 171
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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 ...
115 views

InverseFunction and Plot them

I'm trying plot an inverse function ...
64 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 ...
• 36.2k
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}\...