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# 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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### Solving equation with Curl in angular velocity

In 3 dimensions, angular velocity is given as: $$\boldsymbol{\omega} = \frac{1}{2} \nabla \times \boldsymbol{v}$$ How can I use mathematica to solve for velocity $\boldsymbol{v}$, if I give a value ...
68 views

### Problem with RSolve function

When I use RSolve to solve the recurrence: $S(n)=\dfrac{1}{-S(n-1)-2},S(1)=-2/3$, it gives an empty solution: however the solution should be:$S(n)=-\dfrac{n+1}{n+2}$ Did I do something wrong?
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### Area of a parametric plot with interpolating functions

I am looking for the area of a parametric plot defined by two solutions (defined as: VVLt & PVLt) of Numerically solved differential equations. The problem is when i'm trying to integrate the two, ...
32 views

### Bounding Solve results to named variables

How can i bound results of my Solve function to variables properly? This metod works but causes unexpected troubles i struggle to resolve ...
78 views

### How to find the largest degree of a polynomial?

I have a huge polynomial, and I am having the following issues 1. I wanted to find the largest and smallest degree of that polynomial. 2. How to truncate the lower order terms, sometimes higher order ...
102 views

### Solving polynomials and exponential simultaneously

I am trying to solve two equations simultaneously in Mathematica. The LHS has a high polynomials whereas the RHS has an exponential functions. It does not have to be exact solution, tolerance is ...
82 views

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### Plotting a transcendental equation [duplicate]

I would like to get this graphic: from this article. Here $\kappa$ and $\varepsilon_{dd}$ are related by: ...
63 views

### find gravity acceleration (g) using FindFit

I need some help again, with this simple exercise: Use the data to determine g, but this time use the functional form T = 2 pi Sqrt[L/g] for the period T of a ...
75 views

### Help explain failure of Solve method to solve economic equation

Below is an economic equation consisting of Y, Ki, Alpha, G, Ki, K, and two parameters Epsilon and Eta. Mathematica's Solve method computes G, in terms of the other variables, but fails to solve for ...
88 views

### Sum not recognized as a linear operator by Solve

When I try to solve an equation with a constant under the summation sign, Mathematica does not factor the constant out of the summation and fails to solve a simple equation. How do I make ...
41 views

### Why Solve works but FindRoot needs precision. How to fix?

So how do I change the machine precision so that FindRoot works? I am unsure what to put into the program to fix. I tried setting the precision and that did not seem to work for me. ...
49 views