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Need help with a differential equation

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Caldorous Gallente	Posted - 2006.10.03 21:59:00 - [1] Edited by: Caldorous on 03/10/2006 22:01:40 Hey, i was doing homework and i've come up with this Ordinary differential equation of 1st order: dy 4y -- - --- = x*sqrt(y) dx x Can someone help me with the solution? -----------------------------
Caldorous Gallente	Posted - 2006.10.03 22:07:00 - [2] i'd like to know, which type of equation is, you know, to get a complete resolution -----------------------------
Sakura Nihil Tharsis Security	Posted - 2006.10.04 01:32:00 - [3] You paying isk? I'll think about it. Tharsis!
Dark Shikari Caldari Imperium Technologies Firmus Ixion	Posted - 2006.10.04 01:44:00 - [4] Originally by: Caldorous Hey, i was doing homework and i've come up with this Ordinary differential equation of 1st order: dy 4y -- - --- = x*sqrt(y) dx x Can someone help me with the solution? Ewww thats an ugly equation... the only thing I can think of is that the second expression could be transformed into a quadratic of some sort, but that looks unlikely. It is almost certainly not seperable... -[23] Member- Awesome new space games site, from the editor of E-ON!
Sakura Nihil Tharsis Security	Posted - 2006.10.04 01:50:00 - [5] Originally by: Dark Shikari Originally by: Caldorous Hey, i was doing homework and i've come up with this Ordinary differential equation of 1st order: dy 4y -- - --- = xsqrt(y) dx x Can someone help me with the solution? Ewww thats an ugly equation... the only thing I can think of is that the second expression could be transformed into a quadratic of some sort, but that looks unlikely. It is almost certainly not seperable... nods* Just tried seperation of variables, I was starting to think about introducing a solving factor mu into the equation, but needless to say its been awhile since Diff. Eq. Tharsis!
Kurren Farscape Mining	Posted - 2006.10.04 01:53:00 - [6] What exactly are you solving for? X? Y? D? --- --- --- --- My Sig Is Not Too Big...
Sakura Nihil Tharsis Security	Posted - 2006.10.04 01:54:00 - [7] Edited by: Sakura Nihil on 04/10/2006 01:55:02 y more specifically, trying to find a y that when differentiated w/ respect to x, will yield x*sqrt(y) + (4y/x). Tharsis!
Aeaus Tharsis Security	Posted - 2006.10.04 02:11:00 - [8] Originally by: Sakura Nihil Edited by: Sakura Nihil on 04/10/2006 01:55:02 y more specifically, trying to find a y that when differentiated w/ respect to x, will yield xsqrt(y) + (4y/x). If I ask a math question will you come in and actually play the game tonight? Join Tharsis!* - Get Sexy Sigs
Hllaxiu Shiva Morsus Mihi	Posted - 2006.10.04 03:10:00 - [9] Edited by: Hllaxiu on 04/10/2006 03:13:38 Originally by: Sakura Nihil Edited by: Sakura Nihil on 04/10/2006 01:55:02 y more specifically, trying to find a y that when differentiated w/ respect to x, will yield xsqrt(y) + (4y/x). Is the answer you're looking for: sqrt(y) = x^2ln(x)/2+kx^2 Thats just what my ti-89 outputted with deSolve (its usually pretty decent)... it'd useful if you'd say what methods you've seen so far in class. --- Our greatest glory is not in never failing, but in rising up every time we fail. - Emerson
F'nog Amarr Celestial Horizon Corp. Ascendant Frontier	Posted - 2006.10.04 05:31:00 - [10] y = 42. Everyone knows this. Originally by: DB Preacher The only time BoB's backs are to the wall is when backdoor bandit is in local.
Vaslav Tchitcherine Jericho Fraction	Posted - 2006.10.04 10:42:00 - [11] y = ~y v. jf \| won't somebody think of the pandas?
Splagada Minmatar Tides of Silence	Posted - 2006.10.04 12:59:00 - [12] Maple 5.0! ------ relaxed corp looking for members
Crumplecorn Gallente Aerial Boundaries Inc. Interstellar Starbase Syndicate	Posted - 2006.10.04 15:38:00 - [13] Originally by: Caldorous Edited by: Caldorous on 03/10/2006 22:01:40 Hey, i was doing homework and i've come up with this Ordinary differential equation of 1st order: dy 4y -- - --- = x*sqrt(y) dx x Can someone help me with the solution? I used to be able to do these. I can't anymore. But now I can fly spaceships! Pew pew pew! ... Still though..... ---------- Nerf Caldaro!
Verus Potestas Caldari Fiat Mort	Posted - 2006.10.04 15:46:00 - [14] Originally by: Kurren What exactly are you solving for? X? Y? D? D isn't a number RAWR!111 Sig Hijackz0r!!11 - Immy
Detavi Kade	Posted - 2006.10.04 16:20:00 - [15] Originally by: Caldorous Edited by: Caldorous on 03/10/2006 22:01:40 Hey, i was doing homework and i've come up with this Ordinary differential equation of 1st order: dy 4y -- - --- = x*sqrt(y) dx x Can someone help me with the solution? It's sad that I used to be able to do things like this. It's sad that I no longer have a clue!! That's what 8+ yrs in the workforce will do to your college education.
Kurren Farscape Mining	Posted - 2006.10.04 21:08:00 - [16] Edited by: Kurren on 04/10/2006 21:18:17 Edited by: Kurren on 04/10/2006 21:17:49 Edited by: Kurren on 04/10/2006 21:17:19 Edited by: Kurren on 04/10/2006 21:16:23 Originally by: Verus Potestas Originally by: Kurren What exactly are you solving for? X? Y? D? D isn't a number Yes, but as far as I see, it's still a variable that can be solved for. edit - and the best I can come up with is (and these are very hard to write out...) DsqrdXsqrdsqrt(Y) ------------------------------ = Y 3 --- --- --- --- My Sig Is Not Too Big...
Hllaxiu Shiva Morsus Mihi	Posted - 2006.10.04 21:25:00 - [17] Originally by: Kurren Yes, but as far as I see, it's still a variable that can be solved for. dx is a differential and dy/dx is a derivative. d by itself is rather meaningless.... --- Our greatest glory is not in never failing, but in rising up every time we fail. - Emerson
Kurren Farscape Mining	Posted - 2006.10.04 21:35:00 - [18] Well... that pretty much makes what I solved for useless... --- --- --- --- My Sig Is Not Too Big...
Corphus Sha Kharn Corp Ascendant Frontier	Posted - 2006.10.04 23:24:00 - [19] Originally by: Caldorous Edited by: Caldorous on 03/10/2006 22:01:40 Hey, i was doing homework and i've come up with this Ordinary differential equation of 1st order: dy 4y -- - --- = x*sqrt(y) dx x Can someone help me with the solution? dude the solution is simple = 42 Don't Panic !
Ralus eXceed Inc. Ascendant Frontier	Posted - 2006.10.05 01:19:00 - [20] Edited by: Ralus on 05/10/2006 01:20:03 Hmmm this is tricky indeed, to integrate to solve you'll need to get it into the for f(x) dx = f(y) dy. Sounds easy but its not because of that route in there. I managed to break it down to: dy = xy^(1/2) + (4y)/x dx but i'm now unsure how to seperate the y's onto the other side. My guess would be having to use integration by seperation and substitute a term in there for U but I can't quite remember how you do that. You've got me bugged now though cos I should be able to do this so I'll dig out the maths textbook and if I figure it out post back again later.

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