User Portlet
| Discussions |
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| The Jacobian matrix is a matrix, and you access its elements with Part, or, more commonly, with the shortcut [[]] JacobianEqs[x, y][[1, 1]] |
| Excellent! Thanks for the explanation |
| Cool, thanks! |
| Did you try `SolveAlways`? |
| Got it, I was confused on how to use $Reduce$, but I figured it out.. |
| What error are you seeing? When I download and run your notebook, I don't see any errors. Try doing the replacements one at a time. Which one fails? What error does it give? Try using this replacement rule on a simpler mathematical expression .... |
| I forgot one line. I had to convert to exponential form first and forgot to paste the line.. If you can try this. No warnings. V 10.02. ClearAll[c1, c2, s, q]; eq = { v + c1*Sinh[c2] == 0 , v + Sinh[-s*q + c2] == 0}; eq =... |
| > Any tip on how can I solve $v?(u)+\frac{u}{v(u)}?\frac{u^3}{v(u)}=0$ > analytically? This is separable, so direct integration solves it. Since $v'(u)=f(v,u)$ can be written as $v'(u)= \frac{-1}{v} (u-u^3)$ so it is separable. Rearranging gives... |
| Bifrucation diagrams are a bit more tricky than plotting a function. There are a couple of resources online about how to write this function. I would reccomend taking a look at this one: ... |