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Newest 'equation-solving' Questions - Mathematica Stack Exchange
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Learn more about TeamsQuestions tagged [equation-solving]
Questions on the analytic and numerical equation solving functions of Mathematica (Solve, Reduce, NSolve, FindRoot, DSolve, RSolve, etc.).
6,828 questions
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1
vote
1
answer
57
views
Help validating the solution to a nonlinear ODE: Does it solves other non-linear ODEs too? [closed]
I am working right now in this another question by doing examples and I got stuck in proving the results I found through Wolfram-Alpha are right.
The main differential equation is the following ODE:
$$...
-3
votes
0
answers
82
views
How to NDSolve the same equations many times with different givens [closed]
I have this equation:
r''[\[Tau]] - r'[\[Tau]] \[Phi]'[\[Tau]]^2 + (1 + mstar)/
r[\[Tau]]^2 == 0
I want to solve it twice, each time with different initial ...
4
votes
3
answers
132
views
Reducing the huge result of solve with large powers
Consider this function:
...
4
votes
1
answer
192
views
Generating Poincaré sections
I would like to reproduce the Poincaré sections presented in this and this papers, which look like
The figures are for energy values of E=0.2 (a) and E=0.25 (b) in the Hamiltonian, which reads
$$H=\...
2
votes
1
answer
114
views
Why does NDSolve fail or slow down when simulating a driven JC model with time-dependent terms, even when the drive is off?
I'm performing a numerical check of an effective Hamiltonian transformation applied to a driven Jaynes–Cummings (JC) model. After applying a rotating frame transformation and rotating-wave ...
0
votes
1
answer
61
views
Finding nonnegative solutions for systems of equations with parameters using constraints on parameters
Given
{c[0, 3, 4] + z[0, 2, 3] == c[2, 3, 4] + z[0, 2, 4],
y[0, 1, 2] + z[0, 2, 3] == c[0, 1, 3] + c[1, 2, 3],
y[0, 1, 2] + z[0, 2, 4] == c[0, 1, 4] + c[1, 2, 4]}
...
2
votes
0
answers
93
views
Refine with Assumption or Assumming returns different results [closed]
To approach 1-dimensional collision problem, code 1 uses Refine and code 2 uses Assuming.
Question is:
As code1 and code2 below, ...
4
votes
1
answer
1k
views
Mathematica cannot solve {a==0,b==0,a c==0,b c==0}?
The title says it - when trying Solve[{a==0,b==0,a c==0,b c==0}] Mathematica works for quite a while without giving any output. I cannot get anything with the ...
5
votes
1
answer
131
views
Trouble with "RegionMarker" in Mathematica FEM Package
I’m encountering issues while using the "RegionMarker" option to label different subregions in a mesh for solving PDEs with Mathematica’s FEM package (NDSolve/ToElementMesh). Despite ...
1
vote
4
answers
358
views
The shortest path between two points in R^3 is a straight line. How can I find the coefficients for the equation of the line?
This is the system of equations; the points in R^3 are {x1,y1,z1} and {x2,y2,z2} and the coefficients are ...
4
votes
2
answers
406
views
Wave equation via Laplace transform
Solve, via Laplace transforms
\begin{align}
w_{tt}&=w_{xx}\\
w(0,t)&=g(t), \lim_{x \rightarrow \infty}w(x,t)=0, \: x,t\geq 0\\
w(x,0)&=0=w_t(x,0)
\end{align}
where $w$ is the ...
1
vote
2
answers
111
views
calculating and plotting tangents in mathematica [closed]
Compute the tangents to the graph 𝑓(𝑥) = 𝑥2 + 2 at the points 𝑥1 = 0 and 𝑥2 = 1.
(a) Plot the function 𝑓(𝑥) and the two tangents in a common plot.
(b) Determine the point of intersection of ...
0
votes
0
answers
39
views
Quantifier elimination for Linear Systems: Conjunctive vs Disjunctive formulas
Consider the set:
$$\{ b\in\mathbb{R}^m \ | \ \exists x\in\mathbb{R}^n: \ Ax\leq b \} \;.$$
I was trying to use Reduce/Resolve and what I get is the union of linear
conditions. But, this is the ...
4
votes
1
answer
195
views
Why are we getting different outputs from Solve depending on version?
Running the code related to my previous question, I am getting different outputs than reported in the answer.
Why is this the case? I am using Mathematica 13.1, while version 14.2.1 was used in the ...
1
vote
1
answer
163
views
Plotting Fourier Transforms: Wave Equation (1D)
I tried to solve the following wave equation on Mathematica, and the code worked well so far, but when I tried to plot the results, Mathematica froze and I do not know why.
...
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