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1answer
162 views

How to use `FindRoot` to solve an equation containing a parameter?

I'm trying to derive some of the results of the following paper: Electrodynamics of semiconductor-coated noble metal nanoshells, JT Manassah - Physical Review A In the paper there is matrix $\mathbf ...
2
votes
1answer
73 views

Numerical solution of two coupled transcendental equations with three variables

I have following set of coupled transcendental equations. $\tan^{-1} \left(\frac{\sigma+\beta}{K'-1}\right)+\tan^{-1} \left(\frac{\sigma-\beta}{K'-1}\right)=\frac{2 \sigma}{K'}\cos(\beta\tau)$ and ...
0
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1answer
140 views

Nonlinear system of equations

I have been working to find an equilibrium solution for a Hamiltonian dynamical system. I have reduced the problem to the simultaneous solution of 3 equations: ...
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0answers
106 views

Invert a transcendental function

I have tried Reduce and Solve in Mathematica, as well as have a long list of tries in Maple, but cannot seem to get anywhere ...
3
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1answer
420 views

How do I solve $1 - (1 - (A x)^2)^\frac{3}{2} - B(1 - \cos(x))= 0$?

Consider the equation $$ 1 - (1 - (A x)^2)^\frac{3}{2} - B(1 - \cos(x)) = 0 $$ where $A,B \in \mathbb{R}$ are constants. What is the analytic solution?
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0answers
160 views

Integral of a transcendental equation

I have taken the following derivative of a transcendental equation using the D[...] function, as part of an approximation: ...
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2answers
300 views

Transcendental equation inside another equation when 3D plotting

I have been trying to solve this plotting problem myself, and I have received a lot of very useful advice from here on Stack Exchange - but I am now at a complete loss as to how to achieve the plot I ...
0
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0answers
54 views

NMinimize and FindRoot Issues with System of Equations [duplicate]

I am trying to solve a constrained optimization problem with a system of transcendental equations and am running into issues with NMinimize. I have a system of equations (...
1
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1answer
216 views

Choosing min/max values of transcendental equation

With help from here, I have succeeded in plotting the equation z = -a Log[2 Cosh[(2 f[x] + x)/a]], with f[x] being defined by ...
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3answers
1k views

Solve and plot an equation that is dependent on a transcendental equation

I am trying to plot a function that uses the values of a transcendental equation as its input values: y = Tanh[(2 y + x)/2.5] z = 2.5 * Log[2*Cosh[(2 y + x)/2.5]] ...
7
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0answers
393 views

Creating and using an explicit piecewise function in a convenient way

I have a set of data points that define a function in the form curvePts = {data1,data2,...} where ...
3
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3answers
581 views

How can I solve Tan[t] - t == F[x] for t as a function of x?

How can I solve the equation Tan[t] - t = Ax, where A is a constant for t[x]? I know that ...