Questions tagged [inverse-function]

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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

InverseFunction: Precision problem

I define a function SS[t] as an inverse function: ...
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

InverseFunction and Plot them

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