# Questions tagged [equation-solving]

Questions on the analytic and numerical equation solving functions of Mathematica (Solve, Reduce, NSolve, FindRoot, DSolve, RSolve, etc.).

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### Use Solve solutions as Function when there are multiple solutions on distinct domains

First, I'm sorry if this question is a duplicate. I am very new to wolfram, and I have tried many solutions found here without success. For the context, I have at hand a method to produce successive ...
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### Solve conditional term with mathematica [duplicate]

Solve mathematical conditional expressions with Mathematica, e.g if $x+y=3$ and $xy=-1$ , what is result $\frac{x^3+y^3}{x^2+y^2}$
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### The root of the trinomial equation z^n+2*z-t written in terms of FoxH

From documentation, the roots of the general trinomial: $$z^n-z-t=0$$ are written in terms of FoxH special function; ...
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### Solving hyperbolic equation with parallelization in python by elucidating Mathematica algorithm [closed]

So! I have what seems like a rather basic hyperbolic equation to be solved written in Mathematica, with an integer input ‘n’, for which I am seeking the First {x,y} Integer solution to satisfy the ...
82 views

### Solving a particular transcendental equation

I am trying to find the chemical potential as a function of number density, the equation of which is \begin{equation} \frac{n}{2\pi l_{B}^2} = \int_{-\Delta}^{\Delta}d\epsilon \frac{e^{-\epsilon^2/w^2}...
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### Inequality cannot be solved using Reduce (no transcendental functions) [closed]

I have these assumptions: ...
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1 vote
92 views

### Find the all cases that satisfy an equality

I want to find which cases the following equality is satisfied. ...
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1 vote
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### Syntax of wolfram alpha solution entry (using #1 and &) [duplicate]

I try to understand the solution that solves the following equation https://www.wolframalpha.com/input?i=argmin+%28f%28x%29%3D%28x%2F%28a-x%29%29%5E2*b%2Ba-x%29+for+a%3E%3Dx%3E%3D0 It is written that ...
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### Converting solutions back to equations (inverse of ToRules)

If I solve an equation (or a system of equations), I get output like {{a -> 5, b -> 4}, {a -> 2, b -> 3}} I would like to convert this a statment, like ...
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1 vote
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### Symbolic Solution to Rational Equation [closed]

I have the following equation, which I would like to solve for a in terms of x, y, and ...
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1 vote
112 views

### Why Reduce command dosn't work in my below code? [closed]

I have tried to solve the following equation as shown in the code using Reduce command, but I can't solve for the values of a, <...
361 views

### Is there a Mathematica equivalent of Eq() in sympy

In sympy, the Eq() function could help to visualize a system of equation like below, I am wondering is there an equivalent of Eq() in Mathematica? Thanks!
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1 vote
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### Paclet specialized for circular statistics?

I recently came across "answering biological questions using circular data and analysis in R". Is there a similar Mathematica Paclet for circular statistics analysis -- that includes ...
51 views

### How to plot an implicit function with real and complex solutions, different line styles/colours, and a double y-axis?

I am new to Mathematica and trying to reproduce the following figure using ContourPlot: (From: https://iopscience.iop.org/article/10.1088/1402-4896/abb2e0/meta) My ... 86 views

### How to print the function of $f[n]==f[n]$?

The funciton is as follow,and n can be 1,2,3... f[n_] := n + n^2 + n*a + (2*n + 1)*b; f f ...
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### Inverse function of y = x + (0.022 - x) ^ 1.414?

I'm a software engineer with math classes through differential equations about 15 years in my past, and I've gotten stuck trying to invert an equation. The equation: $y = x + (0.022 - x)^{1.414}$. In ...
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### RSolve[] gives error RSolve::litarg when solving demo equations from the official documentation

The official documentation of RSolve[] (specifically, in the fifth paragraph of the seciton "Details and Options") states that: The specification a∈Vectors[m] or a∈Matrices[{m,p}] can be ...
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### NONLINEAR EQUATIONS cannot get the solution

I have simplified the equations and decrease the variables to 5, and changed the parameters' value as I think the equations in enter link description here is because of the improper parameters' value. ...
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1 vote
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### FindRoot::jsing: Encountered a singular Jacobian at the point when solving NONLINEAR EQUATIONS

I have tried many methods to solve the following nonlinear equations. ...
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### Bug in RootSearch

I ran into a problem with Ted Ersek's RootSearch (https://library.wolfram.com/infocenter/Demos/4482/) while solving the problem described here. ...
262 views

### How to solve for composition function?

If $f(x)=x+6, h(x) = 6x-2$ and $g\circ f = h$, how can I solve for $g(x)$? I know how to do it on paper, but I wonder if Mathematica can do it in a general way. This doesn't work: ...
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1 vote
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### How to run RootSearch with increased WorkingPrecision?

I have a Sturm-Liouville problem on a finite interval $0\leq z \leq 1$. I integrate the one-dimensional ordinary differential equation of the second order (the LoDestro equation) by the shooting ...
1 vote
32 views

### answers Solving puzzles with Mathematica [closed]

Hi, I want to calculate the values of these numbers a, b and c. The only information I have: a = √((b-c)²) b = a * c c = (a+b)/2 Anyone knows where to begin?
1 vote
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### Change domain of kinetic functions in order to fit with ParametricNDSolve

I'm trying to solve kinetic differential equation depended on time with three parameters: preexponential factor a, reaction order ...
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