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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
My intent is to create a thread for people interested in Differential Equations. However, I will explicitly state that...
Jul3-12 07:18 PM
Luccas
95 136,542
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
micromass
1 29,559
im looking for an exact analytical solution for the following (1/alpha) * dT/dt = d2T/dr2 + (1/r)*dT/dr where d...
Feb8-10 06:05 AM
gato_
20 3,975
hello... Can anyone tell me how can I simulate the laser rate equation with matlab? i allready wrote a code whics...
Feb3-10 03:16 PM
katla
21 17,939
Let U be an open and bounded subset of \mathbb{R}^n and let v \in \mathcal{C}^2 (U) \cap \mathcal{C} (U) be a solution...
Feb22-10 12:54 PM
Kalidor
0 1,192
Legendre equation: (1-x^2)y''-2xy'+n(n+1)y=0 Where -1< x < 1 General solution is y(x)=c_1 P_n (x)+c_2 Q_n (x) ...
Feb3-10 11:21 AM
yungman
14 2,713
guys please help me, i'm trying to solve a simple moving PDE equation in matlab. The equation i'm trying to solve is...
Feb18-10 09:40 PM
kribosgiros
5 5,876
Y=a+b because Y,aa+Y,bb=0
Feb6-10 05:52 PM
torquil
1 1,011
Can anyone help me to solve the PDE via Inverse Scattering transform method?
Feb4-10 04:19 PM
kurniliya
1 1,130
So I've always done simple ODEs by the method of separation of variables. You know, dy/dx = A*y dy/y = A*dx...
Feb2-10 09:41 PM
LCKurtz
2 2,408
I am not interested in the solution, but I am curious what makes: uiv = u, a 4th-order ordinary differential equation....
Feb4-10 11:50 AM
torquil
8 1,743
ive been given this question for a uni assignment: given the function: f (x) = 5(x^1.3) +1.5(7x − 3)+ 3(e^− x) +...
Feb8-10 02:38 PM
alsatron
2 6,946
Hello dear friends, I have this PDE Can anyone help me in finding what type PDE is it. So that I can try to...
Feb11-10 12:44 PM
kosovtsov
7 1,824
Hi could someone please explain how this can be done please 1. The population P satisfies the differential...
Feb4-10 03:21 AM
elibj123
1 857
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
luhug2
0 987
I am trying to solve (1) U_t = 2bU_xy (as part of U_t = aU_xx + 2bU_xy + cU_yy) using centred finite difference...
Feb10-10 11:38 AM
RedBranchKnight
0 1,012
I have to set up a differential equation for a leaking cylindrical container that is being refilled at a constant...
Feb7-10 02:46 PM
torquil
3 2,150
Hello everyone and thanks for looking at my thread, I had some trouble solving this ODE which was in a textbook by...
Feb10-10 10:29 AM
IttyBittyBit
2 894
My professor yields this equation. d^2z/d0^2+1=0. This problem has to do with heat conduction. So a plane sheet...
Feb10-10 02:36 AM
torquil
1 4,550
d20/de2+1=0 and the boundry condition is -d0/de(evaluated at e=+/- 1)=+/-H0(evaluated at +/-1). The final result...
Feb8-10 12:00 AM
juice34
0 983
The claim is: |Δu|≤ sqrt(n)|D^2(u)| where we regard Du as a gradient vector and we regard the elements of D^2(u) as...
Feb8-10 01:14 AM
RAT(16am
0 1,033
Hello, I'm having problems with a D.E. question, I'm asked to solve the equation: \left(1+y^{'2}\right)y=k^{2}...
Feb9-10 03:57 AM
gato_
1 1,729
Hello all, This is to do with forced longitudinal vibration of a rod (bar). It's basically a problem to do with the...
Feb20-10 06:00 AM
ptptaylor
4 2,319
What is the meaning of \;\;\frac{\partial u}{\partial t}(x,0) Is it equal to \;\;\frac{\partial u(x,t)}{\partial...
Feb11-10 09:37 AM
Lord Crc
3 1,328
In am studying PDE and I have question about D'Alembert solution for one dimension wave equation. I am going to...
Feb16-10 11:47 AM
yungman
7 3,157
i need to solve the follow diferential equation: (\frac{du}{dy})^2=A+Be^{2u}+C \sqrt{D+Ee^{4u}} where A,B,C,D,E...
Feb16-10 09:07 AM
alejandrito29
6 1,009
I want to write a program in C that's going to solve 3 second order differential equations, and I have little to no...
Feb13-10 02:29 PM
WraithM
4 2,242
LaTex Code: \frac{\partial U}{\partial t} + ax\frac{\partial U}{\partial x} + b\frac{\partial^2 U}{\partial x^2} = 0 ...
Feb12-10 12:17 PM
kosovtsov
1 1,969
Can someone solve: y''(x) - A x^2 y = 0 A = constant It is probably easy, but I took this class 23 years ago.
Feb20-10 09:16 AM
masqau
3 1,547
I've come across a very ambiguous statement in my notes on implicit functions (part of the partial derivatives part of...
Feb13-10 04:48 PM
raymo39
8 2,977
Hi, I have an excel spreadsheet that calculates the pressure inside a piston chamber, that is a function of time. I...
Feb15-10 10:53 AM
a.mlw.walker
7 1,284
When you study physics, you never really delve into the reasons behind some of mathematical identities, i was curious...
Feb14-10 01:35 PM
elibj123
1 1,042
Hi there, could anyone help me on this particularly frustrating problem I am having... I have a linear parabolic...
Feb16-10 03:29 AM
nixs
0 2,023
Hello Everyone trying to come up with a stratagey to solving this integral Int(x^3*J3(x),x) no limits Ive tried...
Feb16-10 08:44 PM
Astronuc
2 1,457
So the problem is: x_o=0 \varphi'' + 4\varphi' + \lambda\varphi=0 which satisfies \varphi(0)=3 and \varphi'(0)=-1...
Feb17-10 05:13 AM
gato_
1 756
I have a 3D graphics book, which gives the formula for absorption of radiance along a ray. I am trying to derive the...
Feb17-10 08:20 PM
torquil
1 745
This is not homework, I need someone to verify (9) and (10) below whether I am correct because I don't have the...
Feb23-10 06:58 PM
yungman
10 2,772
given a boundary Hermitian eigenvalue problem L= -\frac{d}{dx}\left+q(x)y=\lambda w(x)y with y=y(x) , in one...
Feb18-10 02:31 PM
zetafunction
0 850
Stupid thing I noticed today: \nabla^2 U=tr(H(U)) Or, in other words, the Laplacian of a function is just the...
Feb19-10 03:49 PM
Ben Niehoff
5 1,659
I am trying to solved a differential equation of Bessel type, X^2 Y('')+XY(')+(X^2-n^2)Y+YlogX=0, where...
Feb23-10 10:00 AM
samreen
12 3,183
Hi there! Few weeks ago I came upon the following problem: Let B be a vector field derivable from a vector...
Feb23-10 01:31 AM
Marin
4 1,292
are there numerical mehtods or similar to obtain highly oscillatory solutions ? i mean, given the solution to a...
Feb23-10 03:36 PM
gato_
1 1,017

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