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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 30,127
My intent is to create a thread for people interested in Differential Equations. However, I will explicitly state that...
Jul3-12 07:18 PM
95 138,370
If ##r## is a function of ## x,y##, then \delta r= \frac{\partial r}{\partial x}\delta x + \frac{\partial r}{\partial...
Oct29-13 06:57 PM
2 548
Hi there, I'm trying to derive the following equation, but despite internet searching haven't been able to figure...
Oct29-13 10:53 AM
3 764
Google hasn't been very helpful on this one and my textbook once again assumes we are born with certain knowledge as...
Oct28-13 11:20 AM
3 734
I am trying to solve this system DE's to determine the systems First Integral. dx/dt = y+x2-y2 dy/dt = -x-2xy I...
Oct28-13 05:53 AM
10 921
Hi I am working on a project these days where I try to estimate the damping and spring stiffness. The way the physical...
Oct27-13 11:35 AM
2 570
Hi everyone, I just started to study Physics and I have a very simple question about integration. I'm blocked on...
Oct27-13 09:57 AM
14 593
I was taught that heat kernel can be used in any IBVP. However I don't understand "mathematically" how the image...
Oct27-13 05:14 AM
0 551
Hi, I'm somewhat new here, only posted a few times, and would like some help from you guys here if possible I'm...
Oct26-13 01:24 PM
18 1,577
Suppose ##f(x)=sinx,\quad 0<x<π##. Can you do a half-range sine expansion on f(x)? I tried, but I got...
Oct24-13 11:36 AM
0 515
I want to compute the flux surfaces using FEM but i haven't found any good source to read. any help will be...
Oct24-13 09:22 AM
2 782
I have an awful memory when it comes to factoids, I need to remember the Legendre, Hermite, Laguerre, Chebyshev,...
Oct23-13 05:16 AM
2 692
Hi, The definition (see attachment) says that f(x) is a solution to the differential equation if it satisfies the...
Oct22-13 09:25 PM
1 788
Consider the PDE xu_x + yu_y = 4u. Suppose that we want to find the solution that satisfies u=1 on the circle x^2 +...
Oct22-13 09:35 AM
1 537
Hi, We can use Laplace transforms to solve DEs with these guys: ...
Oct22-13 04:18 AM
1 537
Hi, I am not sure if this is the correct forum, but... I am working with FFTs of real signals. I have a FFT of...
Oct21-13 11:13 PM
7 1,075
Hello all, I have boiled a very long physics problem down to the point that I need to solve the coupled equations ...
Oct21-13 09:50 AM
6 792
can anyone direct me to a website that gives adequate treatment of the numerical solution of partial differential...
Oct21-13 08:43 AM
1 580
Consider the following differential equations with initial conditions at time $t_0$ specified: \dot{x}_1 =...
Oct20-13 09:14 PM
Only a Mirage
0 415
Hello, Working through some reduction of order problems. I'm not sure about why the structure of a particular...
Oct19-13 09:04 PM
Simon Bridge
3 740
Good day. I was wondering if you could help me solve this first order linear partial differential equation: / = /...
Oct18-13 11:25 AM
1 421
Something has been bothering me. I see a phrase like this: Plugging our two roots into the general form of the...
Oct17-13 02:44 PM
3 1,083
I ran into some formula: ^{a}_{0}∫J_{o}(kr) rdr= a/k J_{1}(ka) How can this be true? What property was used?
Oct16-13 08:22 PM
1 1,130
Helmholtz equation:##\nabla^2 u=-ku## is the same form of ##\nabla^2 u=f##. So is helmholtz equation a form of...
Oct16-13 06:09 PM
7 1,710
Hi, I'm trying to solve the flow profile inside an inhomogeneous porous material between two parallel moving plates...
Oct16-13 05:07 PM
14 14,556 Why is the math in the red box necessary? According to this definition, it isn't: ...
Oct16-13 04:42 PM
6 976
So, I'm trying to solve 2nd order linear differential equations (series solutions near a singular point). (lnx)y"...
Oct16-13 10:58 AM
2 2,038
Hi all, If we have H'(r)=r+\tau(r)H(r) and \tau(r)=k+(H(r)/r)^a where
Oct16-13 08:31 AM
2 595
I know nothing about DEs, so this may be a silly question. I'm given some time varying (x_t)_t and a constant r,...
Oct13-13 06:18 PM
3 5,876
How can I determine the isotherms(curves of constant temperature) of given Temperature field like T = x^2 -y^2 + 8y....
Oct13-13 05:02 AM
5 5,004
When solving a differential equation for Bessel Functions, how do you know when to use the 1st kind or Neumann...
Oct13-13 04:30 AM
1 638
I need to prove that the solution of this differential equation: dx/dt = -x3 + 2*x + sin3(2*pi*t) - 2*sin(2*pi*t) +...
Oct12-13 12:31 PM
1 1,367
For possion equation $$u_{xx}+u_{yy}=f$$ I know the general five point scheme is in the form...
Oct12-13 09:27 AM
1 823
When the rod is infinite or semi-infinite, I was taught to use Fourier transform. But I don't know when should the...
Oct12-13 06:00 AM
2 1,176
Consider the harmonic oscillator equation (with m=1), x''+bx'+kx=0 where b≥0 and k>0. Identify the regions in the...
Oct10-13 07:45 AM
1 1,395
Hello... My main problem is to find the Green's function of this pde:...
Oct10-13 04:29 AM
0 796
Hello, I'm now working on a charge limiting system. I tried modeling it an easy way to be studied. ...
Oct9-13 05:37 PM
4 2,534
I'm finding for an example s.t. $$Δu=f , 0≤x≤1, 0≤y≤\frac{\pi}{2}$$ $$Δu=0, x>1 , 0≤y≤\frac{\pi}{2}$$ let take...
Oct9-13 02:12 PM
0 578
I was wondering if there is a generalization of the following (roughly stated) theorem to n-dimensional systems: ...
Oct7-13 03:35 PM
Only a Mirage
1 2,022
Hi all, I'd be very happy if you could help me solve a problem in my research. I need to prove the following: ...
Oct5-13 06:34 PM
8 8,174
i got a book on differential equations that says a shortcut to solving the general differential equation...
Oct5-13 06:28 PM
1 693

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