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Differential Equations

- An equation involving derivatives of a function or functions. Solving ODE and PDE
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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
95 121,234
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 25,845
Hello I know nothing about differential equations, can you explain them to me in a few simple words? And what's...
Nov1-12 05:48 PM
djpailo
33 3,786
dε/dt=d(uε)/dZ+ where ε=% area opening, u= velocity, Z=length , k1, k2= constants, t= time Please help me how...
Oct16-12 07:12 AM
Chestermiller
5 1,388
Someone know how to uncouple this system of pde? Δu_{1}(x) + a u_{1}(x) + b u_{2}(x) =f(x) Δu_{2}(x) + c u_{1}(x)...
Oct14-12 09:36 AM
galuoises
3 1,052
THE PROBLEM : y(t) = e^(-t)*sin(t^2); with t0 = 0 and T = 3.14159. Find y_0, and use it to deduce the...
Oct14-12 07:22 PM
X89codered89X
5 1,406
Hi, I was wondering if you can apply shooting method to a 4nd differential eq. two point value boundary problem, ...
Oct17-12 10:23 PM
Chestermiller
2 1,039
Hi, How can one use back Euler method for 2nd order d.e? Is it possible this method to be expanded for a system of...
Oct12-12 06:15 PM
AlephZero
3 1,068
Hi! I have some trouble understanding this question. Could someone help me with it? Thanks! Solve the following...
Oct14-12 06:37 AM
HallsofIvy
1 1,025
Hi, I am undertaking an undergrad design project and want to ensure I'm doing this correctly, I have derived the...
Oct20-12 01:40 PM
X89codered89X
1 766
I want to numerically solve some diffusion-type PDEs of the form $$\frac{\partial u}{\partial t} =...
Oct14-12 11:43 AM
Mute
0 2,168
Hi. I'm watching this video and I don't know what the lecturer is saying. In this video, he says something like...
Oct14-12 10:27 PM
OmCheeto
1 1,097
Suppose I have a really simple first order linear ODE like:$$\dot{\omega} = -k\omega$$ where k is some constant, ω(t)...
Oct15-12 07:38 PM
cepheid
2 1,014
Hello, I have recently started a little implicit differentiation and I have seen DEs before but I know that I still...
Oct17-12 08:49 AM
Mute
1 1,334
Hi! I am currently working with a linear PDE on the form \frac{\partial f}{\partial t} + A(v^2 -...
Oct21-12 06:32 PM
sith
5 1,098
Does it have an easy classification (elliptic, hyperbolic, parabolic, for example)? Or does the fact that it has an...
Oct19-12 04:24 PM
Mute
1 872
All, I have a system of three coupled PDE and I discretized the equations using finite difference method. It...
Oct20-12 05:29 PM
FrankST
2 922
Hi everybody, For part of my research, I need to solve an elliptic PDE like: Δu - k * u = 0, subject to : 0≤...
Oct20-12 10:32 PM
haruspex
5 758
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 there, This is a problem concerning hyperbolic type partial differential equations. Currently I am studying the...
Oct23-12 01:40 AM
OneMoreName
3 1,434
I have a doubt in finding out the Particular Integral of eaxV, where 'V' is a function of x. I saw the book but...
Oct23-12 10:51 PM
iVenky
4 951
Consider a circle of radius 'a' and centre (h,b) then the equation of the circle is given by (x-h)2 + (y-b)2 = a2 ...
Oct23-12 05:12 PM
Chestermiller
4 1,746
Actually I can't find if a differential equation is homogeneous or not I thought homogeneous is given by dy/dx=...
Oct22-12 01:35 PM
Vargo
1 774
Hey, I've been trying to run a few simulations in Matlab using ODE45. This algorithm requires a function which...
Nov1-12 05:57 PM
djpailo
1 1,030
I was wondering if someone can show me or point me to a worked out example using integration by parts for more than...
Oct22-12 10:19 PM
ericm1234
0 789
I was recently trying to prove the variation of parameters formula for an nth degree equation, and I have come up with...
Oct23-12 08:07 AM
HallsofIvy
1 1,120
Hello there, I want to solve the heat PDE in a 1D domain for a source moving at constant speed. The problem has...
Oct23-12 10:57 AM
muzialis
4 1,139
Hello every one. I'm doing research related to heat transfer stuff. I came up with this PDE after making some...
Oct24-12 10:36 PM
p.sarafraz
4 2,501
I can prove that the particular integral of sin(ax+b) is given by \frac{1}{f(-a^{2})} sin(ax+b) That's not an...
Oct24-12 10:10 PM
iVenky
2 1,163
Here's the proof that I read for method of variation of parameters- ...
Oct24-12 09:04 AM
iVenky
4 2,659
I just don't get why the method of undetermined coefficients can't be applied to tan(x) and sec(x). What my book says...
Oct28-12 02:28 AM
lurflurf
5 1,460
The Cauchy homogeneous linear differential equation is given by x^{n}\frac{d^{n}y}{dx^{n}} +k_{1}...
Oct26-12 02:45 PM
HallsofIvy
7 2,733
Mod note: HTML size = ... tags are not needed. You can make things look just fine using tags instead of tags. So,...
Oct24-12 11:20 PM
LCKurtz
20 1,554
Hey I am in physics 30 and i am having trouble rearraging this eqaution: d=vt+1/2at^2 V= velocity 1 a=...
Oct24-12 04:58 PM
kimberlycc
2 1,157
Hi guys! I had the following system of DE's to solve: \alpha '=-2i \alpha \beta ' =2i \beta. Where alpha and beta...
Oct25-12 12:33 AM
chiro
2 1,106
Hello, First post. I will attempt to use latex, something that involves me jabbing my keyboard with a pen since my...
Oct25-12 09:36 PM
TehAdzMan
4 1,242
I was given the following equation to solve: x^2*y'' + x*y' + k^2*x^2*y = 0 B.C. y'(0)=0, y(1)=0 where k is...
Nov2-12 11:47 PM
haruspex
5 1,363
Let's say we have an object falling through an accelerated field from r to s. I would say a gravitational field, as it...
Oct25-12 05:17 PM
grav-universe
0 696
f is a one to one function with inverse f^-1, and we are asked to find the inverse of s(x)=/ My attempts leave me...
Oct29-12 11:45 AM
tiny-tim
9 1,440
Since the hurricane has killed school for awhile, I was working on some stuff that I knew we would not cover in class...
Oct29-12 05:49 PM
dochalladay32
0 908
Hi! I am tackling a pretty simple system of rate equations: N1' = -N1/t1 (1) N2' = -N2/t2 + N1/t1 ...
Oct30-12 07:18 AM
JevKus
0 760
Hi, I am in a numerical methods for PDE's class and have just been introduced to the ADI method. My teacher has...
Oct30-12 07:15 PM
tlonster
0 888

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