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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 30,075
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
95 138,276
What is the vector space under consideration when we say that a linear differential equation is of the form Dy=f ...
T 12:21 PM
pasmith
11 301
Is it possible to solve a differential equation of the following form? $$\partial_x^2y + \delta(x) \partial_x y +...
T 03:55 AM
Simon Bridge
2 1,998
For the following problem \frac{dw}{d\theta}=\theta w^{2}sin(\theta^{2}), w(0)=1 I am not able to obtain the...
Aug21-14 03:12 PM
rjr
4 1,258
Hi friends i am trying to solve heat equation for a single time domain,with Finite Difference Method. I wrote a...
Aug20-14 02:52 PM
Strum
2 176
Suppose all second partial derivatives of F = F (x, y) are continuous and F_{xx} + F_{yy} = 0 on an open rectangle R. ...
Aug19-14 10:47 AM
Medicol
3 179
Greetings all ! This is my first post on the forum, so please kindly let me know if I am not asking a proper...
Aug18-14 03:12 PM
atto
4 237
I want to solve the following differential equation using matlab and thus want to plot between x & y....
Aug17-14 04:27 AM
da_nang
1 114
hi pf! ok, so my math text for PDE's states the following theorem: $$f(x) = \sum_n a_n \phi_n (x)$$ for "nice...
Aug14-14 11:25 PM
Shyan
8 298
Hi, while solving differential equations problems we have to sometimes use absolute value while taking an integral of...
Aug13-14 11:30 AM
HallsofIvy
3 184
Hi guys , I'm currently reading a book and I faced this with DEs: In the 5 attached images you'll find the textbook...
Aug8-14 11:50 PM
Simon Bridge
1 312
Hi everyone, i am trying to solve and program a non linear differential equation in matlab where thermal conductivity...
Aug8-14 11:04 PM
Chestermiller
7 209
http://www.math.uiuc.edu/documenta/vol-ismp/40_lemarechal-claude.pdf I don't understand why we use theta for...
Aug8-14 07:32 AM
HallsofIvy
1 192
Here's the problem: Find the general solution of x*dy/dx+2y=10x^2. How do I find the answer for this problem on...
Aug7-14 07:50 AM
Sunfire
2 193
This is a bit counterintuitive to me that the gradient vector is always normal to the level curve and the level...
Aug6-14 07:12 AM
HallsofIvy
2 190
Hi all, first of all I apologise if my question is not supposed to be in this thread. I am a fledgling mathematician,...
Aug5-14 11:22 PM
Greg Bernhardt
1 242
Can anybody give me some links for plotting bifurcations online?
Aug5-14 11:22 PM
Greg Bernhardt
1 352
Suppose we have some partial differential equation for a scalar ##f## $$Df = \rho$$ taking values in...
Aug5-14 11:22 PM
Greg Bernhardt
1 747
does negative divergence of gradient tempearature gives to lalace equation...? -div(∇T) =
Aug5-14 07:32 PM
SteamKing
1 163
I want to be able to map the position of a planet given initial position, velocity, and acceleration. I know the...
Jul30-14 08:21 AM
Juan Carlos
2 2,223
Hi!, I'm working on a personal project: Solve the heat equation with the semi discretization method, using my own...
Jul30-14 08:08 AM
Juan Carlos
2 239
Hey there, I have modeled a propagating wave in a 1D dispersive media, in which square and cubic nonlinear terms...
Jul30-14 01:14 AM
Strum
2 1,963
How to understand Uniqueness and existence theorem for first order and second order ODE's intuitively?
Jul28-14 02:51 PM
homeomorphic
3 466
Hi. First off, sorry for the not so descriptive title. If one of you finds a better tilte I will edit it. We have...
Jul28-14 03:27 AM
Strum
1 785
Hello Everyone. I have a question. Suppose I have a differential equation for which I want to find the values at...
Jul26-14 12:39 AM
crossfire234
1 785
I'm currently reading Tolstov's "Fourier Series" and in page 58 he talks about a criterion for the convergence of a...
Jul25-14 02:49 PM
jbunniii
2 702
When deriving the Runge-Kutta Method to solve y'=f(x) we need to use Taylor expansion. Hence we need to differentiate...
Jul23-14 01:30 AM
matematikawan
4 921
My textbook says that: "A differential equation contains both the function and the derivative of the function" ...
Jul22-14 04:31 PM
johann1301
3 856
I want to show, in a talk, how to build the Predator-Prey (Lotka Volterra) model. It starts off with the "Population...
Jul22-14 07:09 AM
dkotschessaa
2 742
According to the confluent hypergeometric equation \frac{d^2}{d x^2} y + \left(c - x \right) \frac{d}{d x} y - a y =...
Jul20-14 03:44 PM
Domdamo
3 2,146
Hi, I'm trying to find the first integral of motion for this set of PDE. I'm not really that familiar with this...
Jul17-14 11:44 AM
Alicelewis11
2 3,465
Hi - wondering if you can help me find a solution of: \nabla^{2}u-\frac{u}{\lambda^{2}}=a\delta(r) for spherical...
Jul17-14 09:17 AM
jasonRF
3 2,569
Consider the following linear functional operator: $$Q_w = \lim_{h\rightarrow w} \lbrace \frac{f(x + h) - f(x)}{h}...
Jul16-14 06:17 PM
da_nang
1 1,477
Does anyone know how to prove this identity? I don't quote understand why the associated Legendre function is allowed...
Jul16-14 05:19 PM
HasuChObe
2 1,287
Hi, I am having a problem implementing 4th Order Runge Kutta (RK4) to solve a non linear ODE. dy/dt = B(t) -...
Jul16-14 03:04 PM
AlephZero
2 1,371
I'm doing a practice problem I found online, and I get a solution, but I think it should have a sine term in it. I...
Jul14-14 06:21 AM
pasmith
1 1,742
As it can be read here, http://en.wikipedia.org/wiki/Laplace_transform#Relation_to_power_series the Laplace transform...
Jul12-14 08:23 AM
HallsofIvy
2 1,624
For a regular LR circuit (L and R in series) and with a AC voltage: http://i.imgur.com/R8yRjNY.jpg I tried to...
Jul11-14 05:18 AM
Waxterzz
2 1,924
Hi, Are there any numerical techniques I can use to solve differential equations with periodic boundary conditions? I...
Jul10-14 04:44 PM
SarthakC
8 2,074
This is about attempting to solve ##\left( y'\right)^2 = y^2 - 1 ##. \int\frac{dy}{\sqrt{y^2 -1}} = \pm \int dx ...
Jul9-14 05:47 AM
pasmith
2 1,547
f(z) = sq. rt of z-1 / z+1 --- both numerator and denominator are inside the radical. I can write it as (z-1)^1/2...
Jul7-14 07:33 PM
HallsofIvy
2 1,935

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