Timeline for Integrating and plotting solutions of a nonlinear dynamical system
Current License: CC BY-SA 4.0
10 events
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| Apr 25, 2022 at 7:19 | history | edited | Artes | CC BY-SA 4.0 |
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| Apr 14, 2022 at 1:54 | comment | added | Artes | @Roberto_1986 Explain meaning of symbols $ω,k,A,B$. What does this ode describe? What are interesting ranges of values of the constants? What is domain of $\theta$? | |
| Apr 2, 2022 at 1:01 | history | edited | Artes | CC BY-SA 4.0 |
added 7 characters in body; edited tags
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| Apr 1, 2022 at 18:39 | answer | added | Artes | timeline score: 5 | |
| Apr 1, 2022 at 15:27 | comment | added | Michael E2 |
There is a difference betwen = and ==. The double == is for representing an equation.
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| Apr 1, 2022 at 14:42 | comment | added | Artes | I've explained how you can solve your equation here. I've mentioned it in comments to your question. | |
| Apr 1, 2022 at 13:29 | comment | added | Artes |
If constants k, A, B and $\omega$ are symbolic you cannot prescribe u1, u2, u3 but they can be expressed in terms of k, A, B and $\omega$. One can plot a general solution only if an initial condition is given.
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| Apr 1, 2022 at 13:26 | comment | added | Artes |
You can get e.g. Integrate[1/Sqrt[(1 - u)^2 (2 - u)], u] yielding -2 I ArcTan[Sqrt[-2 + u]] if u>2, however in general if u1 != u3 i.e. (u1 not equal to u3 ) this will be an elliptic integral, then u[theta] will be an elliftic function expressible in terms of e.g. the Weierstrass elliptic function $\wp$ see e.g. this post 1. If you expect more detailed help you should ask your question more precisely.
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| Apr 1, 2022 at 11:08 | answer | added | Ulrich Neumann | timeline score: 2 | |
| Apr 1, 2022 at 10:57 | history | asked | Roberto_1986 | CC BY-SA 4.0 |