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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
1 30,192
My intent is to create a thread for people interested in Differential Equations. However, I will explicitly state that...
Jul3-12 07:18 PM
95 138,534
Im writing a program that calculates the trajectory of a particle in an arbitrary force field. the force field is a...
T 02:14 PM
5 170
I had a brief question regarding SDEs. Typically, I've seen models like the Ornstein-Uhlenbeck process that generally...
Y 07:42 PM
5 121
Firstly, if this is an inappropriate forum for this thread, feel free to move it. This is a calculus-y equation...
Y 10:17 AM
Greg Bernhardt
1 153
I took an introduction to ODEs course this past spring semester. It always bothered me where this thing came from. I...
Y 08:09 AM
9 189
Find y(t), the inverse laplace transform of Y(S). Y(S)= 10 U(S)/2 + 2/(s-4) + s/((s+1)(s+2)) - 6/(s-4)^4. ...
Aug31-14 03:30 PM
0 82
Hello, I was just after an explanation of how people get to this conclusion: Say you are looking at the...
Aug28-14 06:31 AM
2 339
1. why do we need to use shifted unit step function in defining second shifting theorem? 2. why don't we instead...
Aug27-14 07:45 AM
2 182
hello. I have a matlab skeleton provided because i want to model a distribution with a circular geometry. all in all,...
Aug25-14 06:19 AM
2 148
What is the vector space under consideration when we say that a linear differential equation is of the form Dy=f ...
Aug24-14 07:30 AM
13 453
Is it possible to solve a differential equation of the following form? $$\partial_x^2y + \delta(x) \partial_x y +...
Aug23-14 03:55 AM
Simon Bridge
2 2,079
For the following problem \frac{dw}{d\theta}=\theta w^{2}sin(\theta^{2}), w(0)=1 I am not able to obtain the...
Aug21-14 03:12 PM
4 1,305
Hi friends i am trying to solve heat equation for a single time domain,with Finite Difference Method. I wrote a...
Aug20-14 02:52 PM
2 215
Suppose all second partial derivatives of F = F (x, y) are continuous and F_{xx} + F_{yy} = 0 on an open rectangle R. ...
Aug19-14 10:47 AM
3 221
Greetings all ! This is my first post on the forum, so please kindly let me know if I am not asking a proper...
Aug18-14 03:12 PM
4 279
I want to solve the following differential equation using matlab and thus want to plot between x & y....
Aug17-14 04:27 AM
1 157
hi pf! ok, so my math text for PDE's states the following theorem: $$f(x) = \sum_n a_n \phi_n (x)$$ for "nice...
Aug14-14 11:25 PM
8 335
Hi, while solving differential equations problems we have to sometimes use absolute value while taking an integral of...
Aug13-14 11:30 AM
3 217
Hi guys , I'm currently reading a book and I faced this with DEs: In the 5 attached images you'll find the textbook...
Aug8-14 11:50 PM
Simon Bridge
1 345
Hi everyone, i am trying to solve and program a non linear differential equation in matlab where thermal conductivity...
Aug8-14 11:04 PM
7 245 I don't understand why we use theta for...
Aug8-14 07:32 AM
1 222
Here's the problem: Find the general solution of x*dy/dx+2y=10x^2. How do I find the answer for this problem on...
Aug7-14 07:50 AM
2 228
This is a bit counterintuitive to me that the gradient vector is always normal to the level curve and the level...
Aug6-14 07:12 AM
2 222
Hi all, first of all I apologise if my question is not supposed to be in this thread. I am a fledgling mathematician,...
Aug5-14 11:22 PM
Greg Bernhardt
1 275
Can anybody give me some links for plotting bifurcations online?
Aug5-14 11:22 PM
Greg Bernhardt
1 379
Suppose we have some partial differential equation for a scalar ##f## $$Df = \rho$$ taking values in...
Aug5-14 11:22 PM
Greg Bernhardt
1 775
does negative divergence of gradient tempearature gives to lalace equation...? -div(∇T) =
Aug5-14 07:32 PM
1 202
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 2,277
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
2 275
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
2 1,997
How to understand Uniqueness and existence theorem for first order and second order ODE's intuitively?
Jul28-14 02:51 PM
3 496
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
1 815
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
1 815
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
2 736
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
4 957
My textbook says that: "A differential equation contains both the function and the derivative of the function" ...
Jul22-14 04:31 PM
3 887
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
2 771
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
3 2,186
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
2 3,496
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
3 2,608
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
1 1,507

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