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Differential Equations

- An equation involving derivatives of a function or functions. Solving ODE and PDE
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Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
micromass
1 25,850
My intent is to create a thread for people interested in Differential Equations. However, I will explicitly state that...
Jul3-12 07:18 PM
Luccas
95 121,244
If we have a linear system with the following differential equation: d2y/dt2+7*dy/dt+12*y=dx/dt+5*x So H(s) =...
Feb23-11 12:46 AM
logicman112
0 939
When you are solving exact differential equations you want to do the opposite of partial differentiation, And when you...
Mar31-04 12:50 PM
matt grime
1 3,285
Why is there a prize of $1 million for showing that there are smooth solutions to the Navier-Stokes equations...
Jan27-07 01:05 PM
arildno
4 2,481
I'm looking at linear, 1st order ODEs, like y' + p(t)x = q(t) The notes I'm looking at are calling q(t) the...
Oct4-10 10:07 AM
jambaugh
2 1,061
Hey guys, Lately I have been focusing on some question that have annoyed me for some time. One of these questions...
Mar29-13 07:22 AM
Coelum
6 1,178
i'm studying differential equations, the book states the following: http://i44.tinypic.com/11v4f2u.png i want to...
Apr3-12 08:41 AM
cocopops12
2 1,053
Hi, I don't understand why the general solution of 2nd order homogeneous equation is linear? Why is...
Oct31-11 09:43 AM
lonewolf219
4 1,514
Say you have the diff eq. x'=2x(x-13); x(0)=20. After separating and integrating we get, ln|(x-13)/x|=26t+C From...
Sep29-11 09:31 AM
HallsofIvy
1 1,149
whenever i see that integrating factor for solving a linear differential equation with eint. p(x) dx and then...
Jan31-10 10:30 PM
bennyska
2 1,091
I'm looking at the BVP: y'' + ay' + e^{ax}y = 1, with y(0) = 0 and y(10) = 0. The numerical solution blows...
Feb9-09 07:18 PM
rsq_a
3 1,669
To solve a separable ODE like this I would simply multiply each side by dx and then integrate both sides. However, I...
Jul3-09 11:43 AM
AiRAVATA
13 4,943
Let g(x) be the right side of a heterogeneous ODE. Why do we take the derivative of g(x) when using the method of...
Sep15-13 05:55 AM
CAF123
5 736
We were trying to solve the problem 28.32 on page 289 of the Schaum's Series Differential Equations by Richard Bronson...
Apr4-08 03:35 AM
matematikawan
0 1,060
I'm solving the following equation in the unit square using finite differences: epsilon(u_xx+u_yy)+u_x+u_y=0, where...
Jun1-06 07:36 AM
DeeCeeBee
0 1,697
let f(x,y)=0 Why df=(∂f/∂x)dx + (∂f/∂y)dy?
Oct16-11 10:09 PM
Bacle2
6 3,801
I am currently studying a great text Elementary Differential Equations and Boundary Valued Problems 9th edition;...
Sep4-09 06:48 AM
HallsofIvy
1 1,482
I was wondering why. When we differentiate, don't we result in an equation that describes the slopes of many other...
Jun21-11 09:29 AM
physixer
3 2,012
After a short look on the question formulated in this differential equation forum I came to the conclusion that the...
Oct24-12 08:03 PM
Unstable
8 1,475
Hi, I hope I posted in the right group. I read some papers about infinite dimensional systems and gave PDEs as...
Mar11-11 02:56 AM
zhidayat
4 2,447
Given a implicit ODE like F(x, y(x), y'(x), y''(x)) = 0, why your explicit form is y''(x) = f(x, y(x), y'(x))? Why a...
Mar27-14 12:36 PM
micromass
4 241
(\frac{\partial z}{\partial x})y the small y, what does it mean. the context this is used in is F(x,y,z) where...
Apr12-12 06:36 AM
D H
1 1,110
Dear Sir/Madam, Who knows the original publication of Laplace transformation by Laplace? Which journal and what...
Feb24-11 01:15 PM
SteamKing
1 890
Looking for the solution to the following ODE: \
Aug14-09 02:01 PM
coomast
3 1,076
For a falling object, who can find the time in terms of the velocity for this journey( before reaching terminal...
Nov26-09 08:15 PM
HallsofIvy
4 920
Hello guys, i'm new here. i was working on a mathematical methods in physics book and there is a part that i dont...
Dec20-09 04:05 AM
mertymertcan
0 2,821
I simply can't recognize it y' = \frac{1}{3}y^{\frac{1}{2}} + t^{\frac{1}{3}} Which type of differential...
Sep24-10 07:41 AM
jackmell
7 1,558
http://i.imgur.com/64ADMbk.png Are they both correct? Would the first or second solution be preferred?
Oct4-13 08:27 AM
HallsofIvy
7 635
Hello guys, Which method can we use to solve the differential equation below? dy/dx= 1/(xy+x^2y^3) It doesn't...
Apr7-05 09:07 PM
Lyuokdea
5 1,037
Hi, I have the attached diffusion based equations I am looking to solve, however I am unsure about how to implement. ...
Sep24-12 08:31 AM
baseball1234
1 1,113
ex2=t-1ex2-\frac{1}{tx}\frac{dt}{dx} Which method should be used and how can you tell just by looking at it?
Jan28-13 12:34 PM
Mark44
2 546
I'm new to DEs, and can do most I've come across so far, but this has me stumped: ...
May11-04 01:04 PM
arildno
1 1,523
Hello everything follows up well, but when I compare the result (eq. 5) with the numerical solution of eq. 1, then...
May13-11 12:30 PM
JJacquelin
1 893
Folks, To date I have been reading about Euler Bernoulli Beam and Timoshenko Beam Theory desribed by the following...
Dec10-12 01:35 PM
bugatti79
3 859
I need a physical explaination of s domain..Is s-domain a higher dimensional plane..?
Jun15-12 08:23 AM
Vargo
8 2,628
A simple question. Suppose I have \epsilon^2 y''' - y' = \frac{1}{1+x^2}. The goal is to calculate the fourier...
Aug17-08 08:08 AM
rsq_a
1 1,491
There are a few theorems in my DE book whose proofs I've been trying to find, without much luck: 1) Given an nth...
Mar21-13 12:22 AM
slider142
4 730
Hello. Where can I find proofs for the solution of d. equations? I can find the solutions but I cannot find the...
Mar31-11 12:48 PM
mike_
7 1,116
I'm having a lot of trouble with the basics in DE, I was wondering if anyone knows of a good tutorial site, or a site...
Jan6-07 07:52 PM
Dr Game
0 1,671
where can i find a good animation lecture which explains this stuff step by step so i could solve the kinds of...
May12-08 01:45 PM
transgalactic
2 1,137
Basically where are nonlinear dynamics and chaos theory used in the real world? Like if someone studies it what type...
May13-12 12:57 PM
jackmell
8 2,627

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