Timeline for Writing the quotient of solutions of linear ODEs as the solution of a nonlinear ODE
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 24, 2015 at 5:25 | comment | added | Pietro Majer | no, $X$ and $Y$ are square matrices, and $Y^{-1}$ is the inverse of $Y$. | |
| Jul 24, 2015 at 2:53 | comment | added | Jay Pantone | @Pietro, I'm a bit confused by your notation. Are $X$ and $Y$ column vectors? If so, what does $Y^{-1}$ mean? | |
| Jul 23, 2015 at 17:44 | answer | added | Christian Remling | timeline score: 1 | |
| Jul 23, 2015 at 7:37 | comment | added | Pietro Majer | The given example in some form also works for linear systems: if $X'=A(t)X$, and $Y'=B(t)Y$, and we define $U:=XY^{-1} $, then $U'=AU-UB$. | |
| Jul 23, 2015 at 3:15 | comment | added | Jay Pantone | I'm just looking for an ODE that has A/B as a solution. It is perfectly fine that there are many other solutions. | |
| Jul 23, 2015 at 1:41 | comment | added | Christian Remling | In your example, the ODE for $F$ has exactly the solutions $F=A/B$. Are you looking for such an ODE in general, or just one that has the solutions $A/B$ and perhaps many others? (I very much doubt that the stronger version will work.) | |
| Jul 22, 2015 at 23:24 | history | asked | Jay Pantone | CC BY-SA 3.0 |