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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 30,072
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
95 138,273
See attached image for the question and my working. Hopefully you can read it OK, I had to resize it to fit to the...
Apr25-11 01:43 AM
joriarty
6 1,422
Hello, I managed to solve the differential equation : dx/dt= 0.1 (x-250) with the information when t=0 x=1000...
Apr24-11 07:24 PM
HallsofIvy
2 930
\acute{y} = \frac{1}{t^{2}} -\frac{y}{t} - y^{2} To solve a Riccati type diff eq a particular solution is needed....
Apr24-11 04:00 AM
JJacquelin
5 994
I'm a theoretical biologist in the process of developing a spatial model for animal movement. So far, I've arrived at...
Apr24-11 03:40 AM
JJacquelin
3 1,080
So I just recently learned about how to use Greens Function to solve a differential equation. The formula was derived...
Apr23-11 03:40 PM
Xyius
4 2,126
Dear friends I am investigating the Painleve analysis for some complex nonlinear evolution equations? What is the...
Apr23-11 01:51 AM
saravanan13
0 677
Today I was doing a problem (physics) and ended up with the a differential equation dT = - T sin(dθ) (Where is...
Apr22-11 04:20 PM
hotvette
1 1,605
So I type a differential equation into Wolfram Alpha, like so: ...
Apr22-11 03:45 PM
I like Serena
2 1,335
Hello everybody! I have a really silly question concerning wave equation: consider the problem \left\{...
Apr22-11 01:27 PM
LCKurtz
1 787
\frac{d\mu }{dt}=-\left( kx\right) \left( \frac{\mu _{m}^{3}-\mu ^{2}\mu _{m}}{\mu ^{2}+\mu _{m}^{2}-2\mu \mu...
Apr22-11 11:59 AM
JJacquelin
1 845
I want to solve the boundary value problem: Laplace's equation for u(r, theta) = 0, 1 < r < 2, 0 < theta < a ...
Apr22-11 11:31 AM
Engineer214
2 1,058
Okay, good, so y' = 3y is an autonomous ODE, while y'(t) = 3y(t) is not autonomous?? Seems like a contradiction...
Apr22-11 06:16 AM
Rasalhague
4 1,120
i don't really understand the difference :( ∇2V versus ∇ (∇ . V) ??? can anyone give me a simple example to...
Apr22-11 12:01 AM
quietrain
10 8,957
Equations: (d^2r/dt^2) - r*(dθ/dt)^2 = -10/(r^2) and r^2*(dθ/dt)=1 How would I get three 1st order ODE's...
Apr21-11 01:07 PM
JJacquelin
4 1,277
I've been given a function U(x,y) where f(z) = U(x,y) + iV(x,y) and asked to check if it is harmonic and then work...
Apr21-11 11:27 AM
anirudh dutta
4 1,790
I've started reading Gerald Teschl's Ordinary Differential Equations and Dynamical Systems. I'd desperately like to...
Apr21-11 06:36 AM
Rasalhague
0 1,190
y' = \frac{1}{t^{2}}- \frac{y}{t} - y^{2}
Apr21-11 06:15 AM
kenano
0 510
What is the difference in expanding a solution of a complex differential equation in terms of Laurent and Taylor...
Apr21-11 04:16 AM
JJacquelin
1 723
consider and determine the steady state solution of the differential equation below. dy/dx = y(y-1)(y+1) We can...
Apr20-11 05:47 PM
epenguin
6 12,005
1. The problem statement, all variables and given/known data Hello I am trying to solve the following Differential...
Apr20-11 03:25 PM
JJacquelin
2 1,399
I am trying to solve the following PDE: \frac{\partial f(x,t)}{\partial t}=a(x,t)\frac{\partial^2...
Apr20-11 02:58 PM
jmk9
0 805
What is the difference between simple fixed pole and simple movable pole? Differential eqs. z(dw/dz)+w=0,...
Apr20-11 08:03 AM
JJacquelin
1 676
I wrote a program that uses the FEM to approximate a solution to the heat conduction equation. I was lazy and wanted...
Apr19-11 11:25 PM
BGalerkin
0 2,433
In a past exam paper at my uni I am asked to show that the hermite polynomials are solutions of the hermite diff....
Apr19-11 06:39 PM
Zorba
1 826
I just started learning about DE's and am impressed by how much information they contain. Are they usually just a...
Apr19-11 02:31 PM
DrummingAtom
4 5,546
Hi, I am looking to model the diffusion of a particle through 2 layers using the finite difference method in matlab. ...
Apr19-11 12:13 PM
robby991
25 3,448
Hey, I want to solve a parabolic PDE with boundry conditions by using FINITE DIFFERENCE METHOD in fortran....
Apr19-11 10:52 AM
yus310
1 3,120
Hello. If I have this equation: http://i52.tinypic.com/2jb4b43.png And this general solution: ...
Apr19-11 10:47 AM
yus310
2 1,821
I've taken a first semester course on PDEs. Basically all we learned was separation of variables and method of...
Apr19-11 07:04 AM
AlephZero
1 1,056
My text gives the following definition for the solution of the heat equation with initial temperature distribution f...
Apr18-11 11:56 PM
erok81
0 1,569
Hi, I developed Matlab code to solve the diffusion equation using the central difference equation, with an added term...
Apr18-11 09:16 PM
robby991
3 1,229
Here is the question. Find the steady state solution of the differential equation below. dy/dx = tan(x^2) What...
Apr18-11 08:59 PM
HallsofIvy
1 1,248
Hello, first time poster. I am putting this question in the PDE section because this was a question I came up while...
Apr18-11 06:57 PM
HallsofIvy
3 3,252
I am looking at the derivation for the solution to solve the partial differential equation of a wave with a...
Apr16-11 11:58 PM
Xyius
2 1,834
Given a set of vectors {v_ j } = {v_1, ..... v_N} and I wish to transform each vector in the following manner v_ i...
Apr15-11 06:56 PM
dan7
1 940
Hello everyone, I am trying to find good references or information on developing the variational formulation for...
Apr15-11 07:47 AM
Shaovus
0 847
What is the corresponding discrete version to the first, second, and higher order derivatives of function?
Apr15-11 07:34 AM
Filip Larsen
1 723
Are there any exact solutions for two-dimensional projections of 3-body problems?
Apr14-11 07:14 PM
LCKurtz
1 630
ty''-(t+1)y'+y=t^2 I know I have to use variation of parameters to solve this. But I am stuck and cannot figure...
Apr14-11 03:26 PM
LCKurtz
2 815
I am looking into Fourier series expansion of function that is non periodic on 0< x< p. This is under the tittle of...
Apr14-11 03:10 PM
LCKurtz
6 4,351

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