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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 29,506
My intent is to create a thread for people interested in Differential Equations. However, I will explicitly state that...
Jul3-12 07:18 PM
95 136,318
For example, if y=x^2, then the derivative of y is 2x. We write the derivative as either f'(x)=2x or dy/dx=2x. ...
Dec27-12 12:05 PM
5 4,036
Can someone give me a qualitative example of the uniqueness theorem of a first order linear differential equation? I...
Dec25-12 07:20 AM
1 1,175
What is the solution of the follwoing differential equation \frac{\partial^{2}y}{\partial...
Dec22-12 02:01 PM
2 1,164
What is the logic behind equating differential equations to zero? For example the equation y''-5y'+6y=0 Because it...
Dec22-12 07:49 AM
2 1,203
Hi all, I have a recursion relation I am trying to solve: {X_n} = \frac{1}{{1 - {\alpha _0} \cdot {X_{n - 1}}}} \to...
Dec22-12 07:28 AM
2 854
Why we always write equation in form y''(x)+a(x)y'(x)+b(x)=f(x) Why we never write:...
Dec21-12 10:56 AM
4 1,059
Why sometimes we search solution of power series in the way: y(x)=\sum^{\infty}_{n=0}a_nx^n and sometimes...
Dec21-12 03:11 AM
3 977
This may be vague, so I apologize. I am interested in applied mathematics, so my question is about the process a...
Dec20-12 02:41 PM
1 983
Hello, i have a problem solving this ecuation dy/dx=(-2*x*y-3*x^2*y^3)/(x^3+2*y*x^2) im using mathematica and...
Dec19-12 04:59 PM
0 891
1. The problem statement, all variables and given/known data General solution for eccentric spheres, smaller...
Dec18-12 10:38 PM
0 1,020
Hi all. I'm trying to solve this PDE but I really can't figure how. The equation is f(x,y) + \partial_x f(x,y) - 4...
Dec18-12 05:35 PM
1 828
The length of the side of the square is a. The boundary conditions are the following: (1) the left edge is kept at...
Dec18-12 07:14 AM
13 2,175
Is there a way to "crudely" approximate PDEs with Fourier series? By saying crudely, I meant this way: Assuming...
Dec17-12 08:01 PM
1 839
Question: Show that the system x'= x-y-x y'= x+y -y has at least one periodic orbit. I know that I need...
Dec16-12 04:14 PM
1 1,000
hello, everyone. Recently I confront with the integral differential equations(ide's) in my research. Anyone can help...
Dec16-12 09:40 AM
3 1,236
Use the orthogonality relation of Bessel function to argue whether the following two integrals are zero or not:...
Dec15-12 01:33 AM
4 1,772 This image is from Thomas's calculus, 10th edition, chapter 9...
Dec13-12 07:47 PM
4 1,183
I was busy doodling and basically ended up constructing this differential equation: p'(t)=c(t)p(t)-c(t-T)p(t-T) ...
Dec12-12 12:32 PM
3 1,011
Hello everybody! While solving some physical problem I got stuck with some system of integral equations. The...
Dec12-12 09:30 AM
1 893
What form should the particular solution of a 2nd order linear non homogeneous differential equation take when the...
Dec11-12 07:43 AM
2 897
I want to know the which is more advantageous when it comes to solving nonlinear hyperbolic equations, Finite Element...
Dec11-12 03:23 AM
0 810
Use finite difference method to solve for eigenvalue E from the following second order ODE: - y'' + (x2/4) y = E y...
Dec10-12 02:41 PM
10 2,103
Folks, To date I have been reading about Euler Bernoulli Beam and Timoshenko Beam Theory desribed by the following...
Dec10-12 01:35 PM
3 935
I know how we solve ODE's and euler equations in which we have cos and/or sin terms on the right. We take the...
Dec9-12 11:31 AM
1 909
the damped oscillator equation: (m)y''(t) + (v)y'(t) +(k)y(t)=0 Show that the energy of the system given by ...
Dec9-12 05:34 AM
3 969
hi; I have 3 hyperbolic electrodes ,one as a ring and 2 others as endcap electrodes which have potential v and 0...
Dec8-12 11:56 AM
1 836
Hello, I am trying to figure out in my notes how my professor did L = 2/(s+3)^2 +4 I think she just did it...
Dec8-12 03:25 AM
8 1,412
I am just wondering the author is doing in this calculation step. Given ##\displaystyle \rho A \frac {\partial^2...
Dec7-12 01:03 PM
5 1,114
Folks, Given the pde ## \displaystyle k\frac{\partial^2 T}{\partial x^2}=\rho c_0 \frac{\partial T}{\partial t}##...
Dec7-12 01:01 PM
6 1,460
Hello, this is a problem I've been trying to do but I'm not sure it is right. Particularly the A_n and B_n terms....
Dec6-12 06:08 PM
2 1,117
In method of resolvent Volterra integral equation K_{n+1}(x,t)=\int^x_t dqK(x,q)K_{n}(q,z) Is that the same as ...
Dec6-12 04:30 PM
0 920
solved please delete
Dec5-12 07:04 PM
0 943
Hello Everybody, I'm trying to plot the frequency spectrum of RIN using Matlab. I've the following code ...
Dec5-12 11:00 AM
0 913
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 1,023
The ODE to solve via variation of parameters is ##(1-x)y''+xy'-y=(1-x)^2##. Knowing that ##e^x## and ##x## are...
Dec4-12 08:28 PM
2 880
Hi. I just came back from my diffeq midterm and was surprised to see a problem with the Riemann-zeta equations on it....
Dec4-12 06:48 AM
4 1,287
When numerically solving a differential equation with boundary conditions, I create a roster of n+1 points and solve a...
Dec2-12 09:48 AM
0 790
I have a quick question. I have to write the differential equations in matrix form Eq1:= x1'(t) = -a1*x1(t) +...
Dec2-12 09:47 AM
3 758
I have to derive equations of motion from Lagrangian and stumbled upon the following system of equations (constants...
Dec1-12 10:36 AM
11 1,510
Hi guys! This is not a homework question, it was a question on my test a few days ago. I could not solve it. Out of...
Nov30-12 10:59 PM
14 2,328

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