805 views

### Why does the following Solve take so long?

Why does the following take Mathematica so long to reply to? Solve[BetaRegularized[0.5, k, n - k - 1] == 0.035, k] where $n = 1000$ By the way, In case there is ...
190 views

### Complex roots of the determinant of symbolic matrix

I am trying to find multiple complex and real roots of the determinant of symbolic matrix. Someone advised me to use Muller's method. I am wondering if there is a package already written to do this ...
122 views

### Creating a For Loop for a equation that has many solutions [duplicate]

I have two equations like these. I want to create a for loop that gives to me all intersection points of the two equations. How can I do that? ...
655 views

### Difficulty finding roots of an interpolation function from NDSolve

I have been trying to find the point at which one of the solutions of a system of two ODEs crosses zero. I used the method suggested in this answer to a previous question, which seemed to be the most ...
671 views

### Find all roots of a function with parabolic cylinder functions in a range of the variable

I want to find all roots of a function involving Parabolic Cylinder Functions. In what follows, I define 2 variables $\xi1$ and $\xi2$, which in turn depend on $\omega$. My function is then defined as ...
830 views

### Finding roots of a function that includes Bessel functions [duplicate]

I'm fairly new to Mathematica so forgive any stupid mistakes. Here's my function: ...
551 views

### Obtaining values from interpolating functions

A similar question has been asked in the post HERE but the current question is more complicated: I have the following differential system ...
672 views

### Labeling solutions of an Eigenvalue equation involving Bessel functions

I'm solving the SchrÃ¶dinger equation for a particle in an annular geometry with hard wall boundary conditions and I've reduced it to the following equation: J_m(k\,R_1)\,Y_m(k\,R_2) - J_m(k\,R_2)\,...
197 views

### Probleme with Ted Ersek's RootSearch package [duplicate]

The following question is a logical continuation of this one. The Ted Ersek's RootSearch package doesn't work with this code: ...
74 views

### Help me solve this equation; I believe this is a transcendental equation [duplicate]

please can someone help me solve (x*L)+B*tan(x*L)=0, solve for x when B=10;L=0.1. The equation looks innocent but I need to find 1st 5 roots of equ.
566 views

### Finding all zeroes - mysterious missing roots

Finding all the roots of a function of one real variable has been discussed extensively in e.g. Find all roots of an interpolating function (solution to a differential equation) (answer no. 2 by Jens ...
586 views

### Techniques to find all local minima of black box function with n continuous derivatives?

I have a blackbox function f on [a,b] that is known to be continuous, and has n continuous derivatives. The function uses polynomial interpolations (but isn't a polynomial interpolation itself), so no ...
928 views

### How do I get all the roots within a certain range for an equation? [duplicate]

I wish to find ALL the roots of the following equation $x \tan(ax) - c = 0$ within a range, where a and c are constants I control. I've been using ...