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Differential Equations

- An equation involving derivatives of a function or functions. Solving ODE and PDE
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Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
1 25,835
My intent is to create a thread for people interested in Differential Equations. However, I will explicitly state that...
Jul3-12 07:18 PM
95 121,204
Hello, How does the change of variables ## \alpha = x + at , \quad \beta = x - at ## change the differential...
Dec30-13 07:03 PM
1 451
I am working on a motorcycle dynamics problem. I have written the equations of motion in matrix form in matlab (and...
Dec26-13 08:21 PM
8 1,099
In our differential equations class, we learned about Ordinary and Regular Singular Points of a differential equation....
Dec24-13 01:56 PM
2 558
I've come across this problem while self studying Ordinary Differential Equations and I really need help. The problem...
Dec23-13 10:51 AM
11 770
How to solve this differential equation \left(\frac{dy}{dx}\right)^{4}+B\left(\frac{dy}{dx}\right)^{3}+C=0 ...
Dec22-13 08:30 PM
2 803
Is there a derivation for ∂f(x,y)/∂x given: f(x,y): g(x,y)h(x,y) e.g. sin(x)(x+2y)
Dec21-13 09:18 AM
2 556
Is there an explicit equation for the Stormer-Verlet numerical integration method for any problem? I usually only see...
Dec21-13 04:05 AM
3 1,766
Suppose I have a variable separable ODE, e.g., \frac{dy}{dx} = 3y. We all know that the solution is y=Ae^{3x}...
Dec20-13 09:11 AM
1 466
By using frobenius method I find the roots of the indicial equation of a 4th order ODE to be 0, 1, 1, 2 Now, what is...
Dec19-13 10:44 AM
2 555 Can someone walk me through this derivation of the Airy...
Dec16-13 07:13 PM
1 519
1. For a non-homogeneous, linear, 2nd order DE, using the method of undermined coefficients, what do you use for the...
Dec15-13 10:35 PM
4 428
This isn't a home work, so only I'm posting here When we solve y'=cos(πx) we'll get y=sin(πx)/π +C. But...
Dec15-13 09:05 AM
1 482
Many times while applying Method of Frobenius, we can also obtain r by equating to zero, the terms involving (r+1)th,...
Dec15-13 04:45 AM
0 433
I was reading and searching about a theory that originated the laplace transfom...
Dec14-13 04:58 PM
0 573
Friends I have one doubt Below given equation is linear or non linear :)
Dec14-13 04:42 PM
5 593
Suppose I have this operator: ##D^2+2D+1##. Is the ##1## there, when applied to a function, considered as...
Dec13-13 09:45 PM
2 515
Usually, when considering the biharmonic equation (given by Δ^2u=f, we look for weak solutions in H^2_0(U), which...
Dec12-13 08:45 PM
0 466
1) If u(r,\theta,\phi)=\frac{1}{r}, is \frac{\partial{u}}{\partial {\theta}}=\frac{\partial{u}}{\partial {\phi}}=0...
Dec11-13 08:25 PM
4 563
Dear all, I have problem to find the differential equation for my circuit shown in the attached picture. For...
Dec11-13 02:06 AM
2 557
I've been trying to solve the Romeo and Juliet problem in differential equations: Romeo is in love with Juliet, but...
Dec10-13 10:21 PM
9 1,955
Find a topological conjugation between g(x) and T(x) where g and T are mappings (both tent maps ) g: → g(x) =...
Dec10-13 02:31 PM
0 459
For spherical coordinates, u(r,\theta,\phi) is function of r,\theta,\phi. a is constant and is the radius of the...
Dec10-13 12:57 AM
1 500
Want to understand a concept here about dimensions of a function. Using example 1: a simple fourier series from...
Dec9-13 01:39 PM
1 567
Here is the DE: Δu(r,θ)=0, 1 ≤ r ≤ 2, 0 ≤ θ ≤ pi and here are the Boundary Conditions: u(1,θ)=sin(θ), u(2,θ)=0,...
Dec9-13 10:22 AM
1 577
Hello,I have a problem in writing my code in Mathematica, when I put values of R,T,S&a the system worked and gave me...
Dec7-13 06:33 PM
Bill Simpson
4 671
\frac{\partial{u}}{\partial{t}}=\frac{\partial^2{u}}{\partial{r}^2}+ \frac {2}{r} \frac...
Dec5-13 08:14 PM
13 861
Dear All, I have following first order nonlinear ordinary differential and i was wondering if you can suggest some...
Dec5-13 05:44 AM
5 1,141
Hi everybody, I'd like to solve the following "free boundary PDE" numerically. Does anybody knows about some...
Dec4-13 03:35 AM
0 495
I have two questions: (1)As the tittle, if u(a,\theta,t)=0, is \frac{\partial{u}}{\partial...
Dec3-13 01:44 PM
5 634
In Bessel's ODE x^{2}y''+xy''+(x^{2}-\nu^{2})y=0, why must \nu not be less than zero? I have looked it up, but I...
Dec3-13 12:28 AM
5 656
Hello Guys. I have to solve two coupled PDE coming from a quantum physical problem, which possess a cylindrical...
Dec1-13 06:45 AM
0 501
Hello, Background: I was going to implement an implicit approach to 3d tetrahedra deformations (first in Matlab...
Nov30-13 04:09 PM
0 555
Consider the ODE x(x-1)y''-xy'+y=0. I need help in identifying the method of solution (power series or frobenius)...
Nov30-13 04:01 AM
1 576
Hello, I am working on a research problem and I am not sure whether or not I will be able to figure this out in a...
Nov30-13 03:39 AM
2 609
What is the answer of this differential equation. ((d^2) r)/((ds)^2) +(m/(r^2)) -(nr/3)=0 the boundary...
Nov29-13 02:14 PM
2 521
I have not met differential equations involving the composition functions (also not much literature on it). Assume...
Nov28-13 11:17 AM
5 679
Consider the ODE y''+P(x)y'+Q(x)y=0. If \stackrel{limit}{_{x→x_{o}}}P(x) and \stackrel{limit}{_{x→x_{o}}}Q(x)...
Nov27-13 02:47 AM
2 684
Hello, We were introduced to Laplace transforms in my ODE class a few days ago, so naturally I went online to try...
Nov26-13 12:08 PM
2 689
I was working on PDE for a project and needed to compute a Jacobian for it. Suppose we have a function consisting...
Nov24-13 01:19 PM
0 717
We first express Bessel's Equation in Sturm-Liouville form through a substitution: ...
Nov24-13 10:39 AM
2 660

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