Linked Questions

0 votes
1 answer
63 views

A specific usage of "Solve" function [duplicate]

It is something from Simplifying polynomials with conditions on variables, that intend to minimize the number of variables. The problem is the usage of ``Solve". I know how to solve equations, ...
InFei's user avatar
  • 115
211 votes
24 answers
17k views

What are some useful, undocumented Mathematica functions?

There have already been some questions about some undocumented functionality in Mathematica. Such as (please add to these lists!) How can one find undocumented options or option values in Mathematica?...
18 votes
2 answers
2k views

Behavior of Reduce with variables as domain

When using Reduce, I accidentally put a set of variables as the domain. To my surprise, it not only seems that Reduce expects ...
Tyson Williams's user avatar
4 votes
2 answers
335 views

Rewriting algebraic expressions as combinations of other expressions

I would like to write x^5 + 1/x^5 in terms of x^2 + 1/x^2, x^3 + 1/x^3 and ...
Real Noob's user avatar
  • 219
1 vote
1 answer
465 views

How to speed or help Solve[] when it is stuck?

The code below generates a system of equations that I need to Solve[] for {c[5], c[6], c[7], c[8]} in terms of {c[1], c[2], c[3], c[4]}. ...
Jerry Guern's user avatar
  • 4,553
3 votes
2 answers
131 views

Arrange a system of differential equations to standard state-space equation form

I want to model an electrical circuit in the form of state-space equations, and I want to use Mathematica to solve the final equations, the circuit equations (from Kirchhoff's law) are shown below, ...
Nihan Tong's user avatar
1 vote
1 answer
107 views

Expression substitution

I konw: $$ a_0=\frac{4 \pi \epsilon_0 \hbar^2}{m_e e^2} $$ and $$ \alpha = \frac{m_{\mathrm{e}}^2 e^4}{18 \pi^3 \epsilon_0^2 \hbar^4} $$ So we can use $a_0$ for $\alpha$,like this: $$ \alpha=\frac{m_{\...
我心永恒's user avatar
  • 1,402
4 votes
2 answers
152 views

Simple symbolic parametric differential equations

I'm relearning Mathematica after a long time away, and trying to remember how to do some things best. At this point, I'm trying to evaluate $\frac{dy}{dx}$, given: $$ \begin{align} y&=\frac{3}{t}\...
Piquan's user avatar
  • 476
1 vote
1 answer
197 views

How to help Mathematica Solve simple substitution equation?

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user avatar
0 votes
2 answers
172 views

solve nonlinear differential equations for some variables [closed]

I have a few nonlinear differential equations and some variables that I need them to be eliminated when I am calculating differential equations based on other 3 variables, but I can just get an answer ...
F R's user avatar
  • 159
1 vote
2 answers
52 views

Solving simuntaneous equations with elimination of a variable [closed]

I have the following relations: Dc == k*t0^2 Dp == k*t1^2 I know that I can do the following: $\qquad \frac{D_c}{k\space t_0^2}==1 \quad \frac{D_p}{k\space t_1^...
Quark Soup's user avatar
  • 1,560