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Differential Equations

- An equation involving derivatives of a function or functions. Solving ODE and PDE
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Jan16-12 Greg Bernhardt
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 30,152
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
95 138,462
I am curious what the nonlinear bernoulli equation is used to model. Is there a certain topic or context where it...
Jan8-13 06:32 PM
SteamKing
2 1,042
y*dy/dx= y*Q(x)+ R(x) I couldn't solve this equation wtih maple. does someone have an idea? Thank you.
Jan8-13 03:24 PM
hayalkar
2 755
Hi All, I have a problem in understanding the concept of dirac delta function. Let say I have a function, q(r,z,t)...
Jan8-13 07:26 AM
HallsofIvy
5 969
Is there some book in which I can read how to calculate Lyapunov exponents for differential and difference equation...
Jan7-13 04:04 PM
LagrangeEuler
0 807
I've got all the matrices in state-space form, but how do I solve them? I tried integrating the equations one by one,...
Jan7-13 08:27 AM
meldraft
1 1,773
I'm just starting my DE class, although I've been familiar with separable DEs for a while. Although they're (so far)...
Jan6-13 05:41 PM
samwinnick
3 983
Given an open connected subset D of the (t,x) plane and a function f\in C(D,\mathbb{R}), we say \varphi\in...
Jan5-13 06:15 PM
jacksonjs20
0 815
I found this initial value problem and was supposed to comment on the accuracy of Runge Kutta method. Please enlighten...
Jan4-13 07:36 AM
joqhey
14 3,275
I'm having difficulties trying to establish the best approach to create a mathematical model of a process that has a...
Jan4-13 12:22 AM
haruspex
6 1,486
Okay, so this is the first time I'm encountering this theorem and I'm not very strong in calculus. But I tried to...
Jan3-13 12:07 PM
indianaronald
1 923
I'm having some difficulties figuring out how to linearize second order differential equations for a double pendulum....
Jan3-13 05:54 AM
HallsofIvy
2 1,692
Hello Everyone I am looking at equations of colliding particles in a granular gas and wondering how to calculate...
Jan2-13 10:14 AM
GGBCN
3 1,188
I have the following equation \frac{\partial}{\partial y}\left(y\frac{dm}{dx}+m\frac{dy}{dx}\right)-\frac{dm}{dx}=0...
Jan1-13 05:18 PM
I like Serena
14 1,472
In Rayleigh's DE : http://www.wolframalpha.com/input/?i=rayleigh+differential+equation What does mu stand for?
Dec30-12 08:28 AM
atrus_ovis
4 1,456
I try to show, that equation \frac{-y}{ x^{2}+y ^{2} } + \frac{x}{ x^{2}+y ^{2}}y'=0 is not exact in...
Dec30-12 06:47 AM
lurflurf
5 1,843
Plese give me silminer simple example or anther example on this case or explein the steps
Dec29-12 01:14 PM
hazzzon
3 763
I have the following equation \frac{\partial}{\partial y}\left(m\frac{dy}{dx}\right)=0 where y is a function of...
Dec28-12 07:22 PM
haruspex
2 2,332
Hi, I'm new to the forum and need some help regarding my calc class. Any help you could provide would be greatly...
Dec28-12 06:45 AM
HallsofIvy
5 4,687
Could someone give me an applied math example of the uniqueness theorem in the physical sciences (physics, chemistry,...
Dec28-12 06:40 AM
HallsofIvy
1 764
Hi, I'd really appreciate any help on this as I've spent many many hours trying to get my head around it. I am...
Dec27-12 09:02 PM
Chestermiller
14 1,851
For example, if y=x^2, then the derivative of y is 2x. We write the derivative as either f'(x)=2x or dy/dx=2x. ...
Dec27-12 12:05 PM
HassanEE
5 4,265
Can someone give me a qualitative example of the uniqueness theorem of a first order linear differential equation? I...
Dec25-12 07:20 AM
HallsofIvy
1 1,193
What is the solution of the follwoing differential equation \frac{\partial^{2}y}{\partial...
Dec22-12 02:01 PM
JulieK
2 1,184
What is the logic behind equating differential equations to zero? For example the equation y''-5y'+6y=0 Because it...
Dec22-12 07:49 AM
HallsofIvy
2 1,253
Hi all, I have a recursion relation I am trying to solve: {X_n} = \frac{1}{{1 - {\alpha _0} \cdot {X_{n - 1}}}} \to...
Dec22-12 07:28 AM
bjnartowt
2 875
Why we always write equation in form y''(x)+a(x)y'(x)+b(x)=f(x) Why we never write:...
Dec21-12 10:56 AM
HallsofIvy
4 1,085
Why sometimes we search solution of power series in the way: y(x)=\sum^{\infty}_{n=0}a_nx^n and sometimes...
Dec21-12 03:11 AM
tiny-tim
3 999
This may be vague, so I apologize. I am interested in applied mathematics, so my question is about the process a...
Dec20-12 02:41 PM
bigfooted
1 1,004
Hello, i have a problem solving this ecuation dy/dx=(-2*x*y-3*x^2*y^3)/(x^3+2*y*x^2) im using mathematica and...
Dec19-12 04:59 PM
mariano2
0 901
1. The problem statement, all variables and given/known data General solution for eccentric spheres, smaller...
Dec18-12 10:38 PM
gparker267
0 1,040
Hi all. I'm trying to solve this PDE but I really can't figure how. The equation is f(x,y) + \partial_x f(x,y) - 4...
Dec18-12 05:35 PM
pasmith
1 845
The length of the side of the square is a. The boundary conditions are the following: (1) the left edge is kept at...
Dec18-12 07:14 AM
Chestermiller
13 2,247
Is there a way to "crudely" approximate PDEs with Fourier series? By saying crudely, I meant this way: Assuming...
Dec17-12 08:01 PM
chiro
1 852
Question: Show that the system x'= x-y-x y'= x+y -y has at least one periodic orbit. I know that I need...
Dec16-12 04:14 PM
pasmith
1 1,021
hello, everyone. Recently I confront with the integral differential equations(ide's) in my research. Anyone can help...
Dec16-12 09:40 AM
Mute
3 1,289
Use the orthogonality relation of Bessel function to argue whether the following two integrals are zero or not:...
Dec15-12 01:33 AM
samuelandjw
4 1,834
http://img22.imageshack.us/img22/9595/capturecv.png This image is from Thomas's calculus, 10th edition, chapter 9...
Dec13-12 07:47 PM
Chestermiller
4 1,211
I was busy doodling and basically ended up constructing this differential equation: p'(t)=c(t)p(t)-c(t-T)p(t-T) ...
Dec12-12 12:32 PM
euroazn
3 1,051
Hello everybody! While solving some physical problem I got stuck with some system of integral equations. The...
Dec12-12 09:30 AM
jannyhuggy
1 908
What form should the particular solution of a 2nd order linear non homogeneous differential equation take when the...
Dec11-12 07:43 AM
CraigH
2 912

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