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Results tagged with differential-equations
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user 57132
Questions on the symbolic (DSolve, DifferentialRoot) and numerical (NDSolve) solutions of differential equations in Mathematica.
0
votes
1
answer
102
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Mathematica is considering $\theta$ as an independent but it is not independent [closed]
ADDED LATER: READ THE POST SCRIPT TEXT AT THE END
Before saying anything else I would like to say please don't edit my codes in this question. I know that they are not formatted properly but they'll …
- 367
1
vote
Accepted
Mathematica is considering $\theta$ as an independent but it is not independent
For those equations which were already there and for also ones added in the post script, the mistake is in the syntax.
posted code
aa = x[s] Cos[y'[s] z[s]] + t''[s];
bb = Sin[x'[s]] Cos[y[s]] + t[s …
- 367
3
votes
1
answer
1k
views
How to directly input calculated Geodesic differential equation into *NDSolve*
I am trying to find the trajectory of a test particle around a relativistic object. Initially, I was trying the Kerr metric as spacetime but the final simulations clearly were not correct as I saw the …
- 367
0
votes
1
answer
50
views
Why is Mathematica not simplifying further even after providing assumptions?
m = {{0, 0, 1, 0}, {0, 0, 0, 1}, {-5 X^2, X^2, 0, 0}, {X^2, -X^2, 0, 0}};
Simplify[Eigenvalues[m], Assumptions -> X>0]
The output I get is this below. The last two eigenvalues are not in their simple …
- 367
2
votes
3
answers
99
views
How to plot $\left|y(t)\right|'$ where $y(t)$ is the output from NDSolveValue
I have a complex valued ODE.
ysol = NDSolveValue[{y'[x] == I Sin[y[x] Cos[x y[x]]], y[0] == .5}, y, {x, 0, 30}];
Plot[Abs[ysol[x]], {x, 0, 30}, PlotRange -> All]
The function $\left|y(t)\right|$ is …
- 367
3
votes
1
answer
156
views
Not able to reproduce the result of this paper to test if a system is chaotic or nonchaotic
I am trying to reproduce the results of a paper A new test for chaos in deterministic systems by Georg A. Gottwald and Ian Melbourne. This paper talks of a simple 1-0 method to determine whether a dyn …
- 367