# 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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### relative accuracy in FindRoot

In my code I have function which takes large value, e.g. y[x_]=10^15 (2 - x^2) When I try to find a root for such function, ...
36 views

### Evaluating functions for different values of parameters

here it is my question. I have a system of two equations in two variables, so I can get a solution. The issue is that those equations depend on three parameters, so my solution will depend on their ...
47 views

### 7X7 matrix of distinct cubed integers with identical row and column sums

Problem: find a 7X7 matrix of distinct cubed integers with identical row and column sums. Well, I have the following code (that came from @kglr from my previous question): ...
25 views

### May Rationalize produce a decimal output (do nothing) on results of NSolve, Solve//N?

Here is a perplexing example, which does nothing (yields 0.3) on 11.3, Windows 10: kn = -1 + s 10/3 cr = s /. NSolve[kn == 0, s, 3] Rationalize[cr[]] (my ...
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### How to get closed form solution of transcendental equation? [closed]

Transcendental-Equation (closed form solution) I want some method to get closed form solution of a transcendental equation and that is in terms of Lambert's Omega function. The equation $x + e^x = k$ ...
48 views

### Having problem in solving hyperbolic functions

I am trying to solve Upm/Um at different points but I am not getting any result. There is any problem with my hyperbolic function? Please help me to get the results. It will be appreciated. ...
78 views

### Solving a system of equations using the data generated by PowersRepresentations and ParallelTable

First of all, it is possible to check the code that I am asking for because I know that $x=3051$ must yield at least a solution to the problem. Well, I have the following system of equations: Now, I ...
37 views

65 views

### Series can not expand the following root object about infinity. Is there another way to expand it?

I have the following equation which I want to solve it for r: ...
27 views

### Use the NSolve function on a list of values

Is there a way to have NSolve loop through a list of values? I know how to use it for single values but unsure if I can get it to loop through a list. I want it to loop through my list of p and have ...
41 views

### NSolve produces no solution to a nonlinear system [closed]

This NSolve code on a system of nonlinear equations produces no output: ...
89 views

### NDSolve numerical problem

I am trying to solve a couple of differential equations given by: $$F(H(t))=R(\phi(t))$$ $$\phi(t)''+H(t) \phi'(t)+ m \,\phi(t)=0$$ where $m=1$ and $F$ and $R$ are just particular functions. In ...
67 views

### I am unable to solve angle of a trigonometric equation

I am fairly new to Mathematica, so this may be a simplistic question, but I want to learn. I know how to use the Solve function to solve a single equation like this: \cos[41.614-x]-1.2752|cos[1....
44 views

### Plotting a complete response to an oscillation; already have particular solution, not sure how to solve for constants in homogeneous solution

I am writing a code that plots an oscillator's response to a periodic excitation. The response consists of the following: x(t) = xh + xp where xh is the homogeneous solution and xp is the particular ...
99 views

### Why Mathematica gives me different results depending on the order I set the parameters when I solve this differential equation?

I am asking Mathematica to solve a differential equation using DSolve, with two different parameters, q and m, and then evaluate at a point. So I write the ...
I have a set of expression such as $\frac{3x+y-z}{6x}$ and $\frac{3 x-y+z}{12 x}$, which can easily get re-expressed as $p$ and $(1-p)/2$, where $p=\frac{3x+y-z}{6x}$, but is there a way to find this \$...