Questions tagged [inverse-function]
The inverse-function tag has no usage guidance.
9
questions
5
votes
3answers
88 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 ...
0
votes
1answer
68 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 ...
1
vote
1answer
73 views
3
votes
4answers
243 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...
...
0
votes
0answers
59 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&...
0
votes
0answers
59 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 ...
3
votes
1answer
83 views
2
votes
1answer
59 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 ...
4
votes
1answer
199 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}\...
