Timeline for Inhomogeneous Bernoulli Equation
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Nov 9, 2015 at 20:09 | comment | added | Loïc Teyssier | Well, yes, I know that (and a lot of other people here also do…) so that referring to Wikipedia is besides the point. Just check your maths before posting, please. And also, please use LaTeX typesetting… | |
| Nov 9, 2015 at 19:45 | comment | added | Li-Jeng Huang | When n=2, PQf depend on x. This is Ricatti's Eq. It can also be transformed to 2nd-order linear ODE. Seehttps://en.m.wikipedia.org/wiki/Riccati_equation | |
| Nov 9, 2015 at 19:29 | comment | added | Li-Jeng Huang | When PQf are constants and n=2, LHS becomes (1/1-n) (1/f)(1/(u1-u2) ln |(u-u1)/(u-u2)|= x+C where u1 and u2 are two roots of u^2 +P/f u - Q/f =0. | |
| Nov 9, 2015 at 19:18 | history | edited | Li-Jeng Huang | CC BY-SA 3.0 |
added 3 characters in body
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| Nov 9, 2015 at 19:13 | comment | added | Li-Jeng Huang | Yes, it can be done for the cases that PQf are constants. If they are functions of x, cannot solved by separation. Thks a lot for your reminding. I walked too quickly in simplified form. | |
| Nov 9, 2015 at 18:42 | comment | added | Loïc Teyssier | You can't separate the variables since $P,~Q,~f$ depend on $x$. Have you tried it? In general these equations are not solvable by quadrature when $PQf\neq0$. | |
| Nov 9, 2015 at 18:40 | review | Late answers | |||
| Nov 9, 2015 at 19:04 | |||||
| Nov 9, 2015 at 18:25 | review | First posts | |||
| Nov 9, 2015 at 19:31 | |||||
| Nov 9, 2015 at 18:23 | history | answered | Li-Jeng Huang | CC BY-SA 3.0 |