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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 28,587
My intent is to create a thread for people interested in Differential Equations. However, I will explicitly state that...
Jul3-12 07:18 PM
95 132,382
Hello I am having some trouble understanding what the difference is between the reference solution and the "true"...
Apr7-14 07:36 AM
2 416
Hello guys, suppose we have an eigenvalue problem \left\{ \begin{array}{ll} u'' + λu = 0, ...
Apr2-14 10:44 AM
6 495
I realized that a PDE of 2nd order can written like: A:Hf+\vec{b}\cdot\vec{\nabla}f+cf=0 \begin{bmatrix} a_{11} &...
Apr1-14 09:22 PM
0 319
Hi, I am looking for a solution of \frac{\partial\phi}{\partial t} =...
Apr1-14 06:50 AM
0 313
Which the difference between diff equations of kind: \frac{dy}{dx} = \exp(x) \frac{dy}{dx} = 1/x and diff equations...
Apr1-14 02:22 AM
8 380
Hello, I have been trying to find an equation to represent the observed angular velocity of any object traveling in a...
Mar31-14 08:50 PM
3 392
Hello, I'm trying to analyze a system of elastically coupled oscillators, whose masses are all the same, using...
Mar31-14 10:51 AM
1 289
Hello, I am doing some physics and I end up with this PDE: \frac{\partial q(x,y,t)}{\partial t} = -(x^2 +...
Mar28-14 02:51 PM
4 669
How do we solve a system of coupled differential equations written below? -\frac{d^2}{dr^2}\left( \begin{array}{c}...
Mar27-14 11:04 PM
Ravi Mohan
2 442
Given a implicit ODE like F(x, y(x), y'(x), y''(x)) = 0, why your explicit form is y''(x) = f(x, y(x), y'(x))? Why a...
Mar27-14 12:36 PM
4 393
If we have a constant coefficient second order homogeneous ODE, the way to solve this is to suppose a solution of the...
Mar27-14 08:13 AM
4 359
hello pf! i am wondering if anyone here knows of a geometric, intuitive explanation for the laplace transform? if...
Mar26-14 05:34 PM
3 340
I would like to learn this. Can someone teach me? The things like δy2/δ2x and solving for x and y. :rolleyes:
Mar26-14 12:37 AM
10 658
I want to solve y''+y'+y=(sin(x))^2 and try to use y=Ae^{ix} but then when I square it I get A^2 e^{2ix} ...
Mar26-14 12:26 AM
1 310
Hi, I know the weak form of the Poisson problem \nabla^2 \phi = -f looks like \int \nabla \phi \cdot...
Mar25-14 01:12 PM
1 353
It is very clear that the solution to the equation "dy/y-a*dx/x = 0" is y=C*x^a. However I cannot figure out the...
Mar24-14 05:27 PM
5 327
Apparently it is a well-known fact that if G(x)=(G_{ij}(x_1,\ldots,x_n)) is a smooth nxn matrix-valued function such...
Mar20-14 03:04 PM
0 452
px = t t = s^2 $$ I = \int_0^∞ e^{-s^2}ds$$ $$I*I = \int_0^∞ e^{-s^2}ds * \int_0^∞ e^{-u^2}du = \int_0^∞\int_0^∞...
Mar19-14 03:11 PM
2 448
Hi, this question came up in my midterm and I was hoping to know if this is the correct method or answer.
Mar18-14 04:18 PM
5 496
Hello, I am learning about the general solution to higher order linear non-homogeneous differential equations. I know...
Mar17-14 11:59 PM
1 388
I am trying to work though an example on this topic in my book and have reached a point that I am not sure about. I...
Mar17-14 04:00 PM
2 340
I've been playing around with the following system for the last little while: (attached image: 2 Blocks +...
Mar17-14 07:35 AM
2 415
Hi there, I am trying to solve a structural mechanics problem. I am doing so by two methods. On one hand, I am...
Mar16-14 07:33 PM
0 334
Hi, I have been experimenting with FreeFem++, and have alos found a list of other free finite element packages. ...
Mar16-14 10:09 AM
0 314
Hi everyone, I have a question on the rate constant of a kinetic model(like the one we use in describing chemical...
Mar13-14 07:50 PM
3 394
How do you decide on the sign of a Hamiltonian function? For example, I have the following system of differential...
Mar13-14 09:21 AM
0 336
Hi, it is easy solving these PDEs with the idealized homogeneous BCs they throw out in class, but I am having some...
Mar12-14 08:49 PM
9 656
Hello! My goal here is to plot the solution to the bioheat equation for a tumor as a function of time. I'm plotting...
Mar12-14 04:08 PM
9 487
Hello, As of recently, I've been working with Laplace transforms and have a question about their relationship to...
Mar11-14 09:58 AM
6 711
Hello, does anyone knows the Integral of (dx)^2 Excuse my english, I hope I had make myself clear, thanks
Mar8-14 07:08 PM
6 559
I was wondering if somebody could clear up some confusion I have regarding this. I've been going over the...
Mar8-14 06:56 AM
2 335
Hello,Iam facing a problem with using FindMinimum Function .Can any body help me ? First I used FindRoot fuction to...
Mar8-14 03:45 AM
Reem Hashem
0 278
Notice that, when solving second-order linear homogeneous constant-coefficient ODEs, the classic linearly independent...
Mar6-14 02:18 PM
1 396
By a fortuitous mistake in copy/pasting, I happened across this system. It exhibits very chaotic behavior for some...
Mar6-14 08:40 AM
1 349
Hello. I have a set of ODE where 1) \frac{dv_x}{dt}=\frac{q(t)B}{m}v_y 2) \frac{dv_y}{dt}=\frac{q(t)B}{m}v_x 3)...
Mar4-14 05:47 PM
5 519
Consider a smooth map ##F: M \to N## between two smooth manifolds ##M## and ##N##. If the pushforward ##F_*: T_pM \to...
Mar4-14 11:16 AM
center o bass
0 346
Why all jacobi theory and all ellipitc integrals is based in ##\Delta(\theta) = \sqrt{1-m \sin(\theta)^2}## ? You...
Mar1-14 09:54 AM
0 389
I have derived these pair of coupled diff equations for U_1 (r) and U_2 (r): r^2 \dfrac{d^2 U_1 (r)}{dr^2} + r...
Feb27-14 01:46 PM
2 445
Hi everyone, I am trying to find analytical solution (at least approximated) for the following equation: ...
Feb26-14 10:25 PM
0 357
I believe this is an error minimization problem so I am trying to solve the following equation Min((∑ ( (S(t) -...
Feb26-14 03:43 PM
4 446

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