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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 29,394
My intent is to create a thread for people interested in Differential Equations. However, I will explicitly state that...
Jul3-12 07:18 PM
95 135,835
Consider the following differential equations with initial conditions at time $t_0$ specified: \dot{x}_1 =...
Oct20-13 09:14 PM
Only a Mirage
0 402
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
3 699
Good day. I was wondering if you could help me solve this first order linear partial differential equation: / = /...
Oct18-13 11:25 AM
1 411
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 1,041
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 1,105
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 1,610
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 13,515 Why is the math in the red box necessary? According to this definition, it isn't: ...
Oct16-13 04:42 PM
6 948
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 1,949
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
2 582
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 5,609
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 4,713
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
1 614
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 1,290
For possion equation $$u_{xx}+u_{yy}=f$$ I know the general five point scheme is in the form...
Oct12-13 09:27 AM
1 773
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 1,128
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 1,341
Hello... My main problem is to find the Green's function of this pde:...
Oct10-13 04:29 AM
0 767
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 2,458
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
0 556
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 1,958
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 7,669
i got a book on differential equations that says a shortcut to solving the general differential equation...
Oct5-13 06:28 PM
1 670
Can you guys help with this question? i don't even know where to begin! *Cries* Thanks! I have a test tomorrow and...
Oct5-13 12:03 PM
2 652 Are they both correct? Would the first or second solution be preferred?
Oct4-13 08:27 AM
7 4,306
I can't seem to model this properly. This isn't an assignment, I'm just curious how this will go, lol. So I have this...
Oct4-13 07:52 AM
3 1,168
Not sure how this can be done. can anyone help?
Oct3-13 04:15 AM
3 1,223
The highlighted in yellow is a mistake, right? I might be going insane. Where does the PI go?
Oct2-13 12:10 PM
3 1,213
I have a function Z = f(P,T) and would like to calculate the partial differentials \left ( \frac{\partial...
Oct2-13 10:50 AM
2 853
Hey I have a degree robotics and moved to theoretical physics so am still struggling to keep up with the mathematics....
Oct2-13 05:13 AM
4 2,824
If we have \frac{1}{X(x)} \frac{d^2 X}{dx^2}=-κ^2, the literature is saying that the solution must be: e^(iκx), but...
Sep29-13 10:46 PM
6 1,784
I have a question about deriving the Bessel function of the second kind with integer order. I understand that the...
Sep29-13 10:32 PM
1 812
Hi all, I'm asking a question about the number of the boundary conditions in high-order PDE. Say, we are solving...
Sep29-13 10:28 AM
1 1,284
Hello, In my Differential Equations class we are learning about modelling with first order differential equations....
Sep28-13 02:55 AM
3 1,029
what are teh differential equations associated to Riemann Hypothesis in this article ?? ...
Sep27-13 11:45 AM
1 1,064
So we just started finding general solutions for homogenous&linear two-variabled PDEs by using separation of variables...
Sep27-13 08:42 AM
6 1,947
Should I just assume that any problems that involve integrating factor will always result in a perfect integral pair?...
Sep26-13 02:40 PM
3 3,126
I'm new here, hope it is the right place to ask the question. The PDE question is ∂2u/∂x2+∂2u/∂y2=0 and...
Sep24-13 09:11 PM
2 2,370
Hello,I need somebody to help me in Mathematica programm I wrote code that works as a function which I can call when...
Sep24-13 11:00 AM
Bill Simpson
4 964
Hi, hope this is a right place to ask this question. I work in the soil physics field and this problem has taken lots...
Sep24-13 07:30 AM
3 884

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