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Differential Equations

- An equation involving derivatives of a function or functions. Solving ODE and PDE
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My intent is to create a thread for people interested in Differential Equations. However, I will explicitly state that...
Jul3-12 07:18 PM
95 121,196
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
1 25,831
method of undetermined coefficent is applied when g(x) is exponent, polynomial or trigonometric function. What will...
May13-05 08:41 AM
1 965
Hi all-- I can't figure out how to approach the following difference equation: ax_{t}+f(x_{t-1})+bx_{t-2}=e_{t}...
Apr27-09 08:09 AM
0 965
Hi everyone. I'm stuck on a problem, banging of head etc. Basically, I've got a time-evolution problem restricted...
Jul27-09 02:06 PM
3 965
For some reason, the syntax is not working and will not print what I am coding so I will just direct you to this link:...
Jun14-10 07:41 PM
2 965
one of the questions my diff eq teacher gave us is L{(t^3)(sin^3(t))} (laplace of t cubed sine cubed t) i'll just...
Apr24-10 09:49 PM
1 963
Good day forum, I have this wonderful DE : dx/dt = x + (b + d(c^t))(x^2) - 1 with, t \in ...
Aug20-10 12:10 PM
1 963
Hi everyone, I'm trying to solve an exercise in which I need to find x(t) considering that X(ω) = cos(4ω). So, I...
May16-12 12:34 AM
0 963
What is the function corresponding to this ODE: In complex notation it...
Nov16-12 02:07 PM
3 963
I just realized you can use variation of parameters (VOP) to solve for homogeneous 2nd order equations. I see it...
Nov4-11 03:28 PM
1 962
So, here's the problem: \frac{dy}{dx} = \frac{8y}{5x} To start off, I separate the integrals, which gives me: ...
Oct9-09 06:55 AM
5 961
Stuck on a problem that says So far testing for exact wouldn't work as it wouldn't be exact and I wouldn't be able...
Mar11-12 06:59 PM
0 961
Find the solution y = φ(t) of the given problem and evaluate φ(t) at t = 0.1, 0.2, 0.3, and 0.4. 1.y'=3+t-y y =...
Feb20-13 08:03 AM
2 961
solve the initial value problem: y''+8.4y'+17.64y=e-4.2x y(0)=1, y'(0)=1 y(x)=? The way I tried to achieve is...
May11-09 06:11 PM
2 960
It is very well known that the result of varying some functional gives a differential equation which solutions...
Feb13-11 04:24 PM
0 960
I've been searching online for the past week but can't seem to find what im looking for. I need the analytic...
Jul3-12 12:50 PM
3 960
Hi guys, Here is an equation that I have tried for few days to solve and still haven't succeeded, I'm interested...
Mar28-13 11:55 PM
Simon Bridge
9 960
Could someone tell me how to enter the following PDE into convode (or some other pde engine - feel free to solve it...
Apr5-09 09:33 PM
1 959
I have a second order ODE representing a simple mass-spring-damper system subject to an input force whose time history...
Mar20-12 05:00 PM
0 959
Hi all, I am Santosh, a grad student at FSU. I am trying to solve a system of 1-D pde's using finite difference...
Oct14-09 10:54 AM
3 958
Hello, I have a inverse Laplace transform problem: F(s)=1/s^2*exp. I tried some ways but didn't find right answer....
Feb4-10 07:20 AM
0 958
I was trying to solve this but to no avail. Then I turned to wolfram alpha for help and there it is:...
Sep10-11 08:59 AM
0 958
I'm trying to solve the PDE: \frac{\partial^2 f(x,t)}{\partial x^2}=\frac{\partial f(x,t)}{\partial t} with x \in ...
Oct17-11 09:27 AM
3 957
Hi, I'm trying to find a differential equation (first OR 2nd order) whose output could be a Fourier Series of a...
Mar22-12 11:43 PM
0 957
Hi all! I'm stuck with a system of PDE. I'm not sure I want to write it here in full, so l'll write just one of them....
Jul8-12 02:08 AM
4 956
given the Laplacian for a certain metric 'g' \Delta f = \partial _i \partial ^{i}f + (\partial ^{i}f) \partial _ i...
Jun28-09 07:53 AM
0 955
dy/dt + y =\infty\sumn=1Sin(nt)/n^2
Jun8-11 02:55 PM
1 955
Assume that f(0) = 0 and Df(0) has eigenvalues with negative real parts. Con- struct a Lyapunov function to show that...
Dec5-12 06:32 AM
2 955
He keeps giving us PDEs to solve where the initial conditions specify x at a POINT rather than along a curve e.g....
Dec4-08 04:25 PM
1 954
Is it correct to say that following? To calculate the distance traveled from the origin after 1 hr when the speed:...
Nov30-09 06:47 AM
1 954
Reduce the equation (equation is attached) to a set of ODEs by the method of separation of variables. ...
May30-10 01:15 PM
2 954
How do we/ can we find the solution of a differential eq d^3y/dx^3 + d^2y/dx^2 - dy/dx =0?
Oct21-10 04:56 PM
2 954
I'm given the initial conditions vnot=0m/s, hnot=3000m, and tnot=0s After 35 seconds of freefall, the chute opens....
Oct14-09 08:52 AM
1 953
Hi everyone, Im looking for an autonomous first order ode that has the following properties. For dependent...
Jan25-13 12:38 AM
7 953
hi everybody! I'm studing the gas diffusion in two cases: 1. first case: gas diffusion in 3D open space in a...
Jan23-12 11:40 AM
0 952
I have a question about calculus of variations that is driving me absolutely nuts right now: I have followed the...
Jul15-12 10:28 AM
1 952
Why can't homogeneous PDEs be solved by completely fourier transforming both sides, down to an algebraic equation. ...
Apr10-09 10:35 AM
Ben Niehoff
3 951
We would like to invite anyone with an interest in ordinary differential equations (ODE) teaching and research to...
Jan30-10 07:23 PM
0 951
Hello, Thanks at first. If anyone can understand, then I would like to know how do I get to equation 4.15. Its a...
Nov26-10 09:10 AM
3 951
I have a doubt in finding out the Particular Integral of eaxV, where 'V' is a function of x. I saw the book but...
Oct23-12 10:51 PM
4 951
Hi everyone! I started studying differential equations, but I still didn't understand why the domain of the...
Dec20-10 10:25 AM
2 950

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