
Please post any and all homework or other textbookstyle problems in one of the Homework & Coursework Questions...

Feb2313 09:24 AM
micromass

1 
29,506 
My intent is to create a thread for people interested in Differential Equations. However, I will explicitly state that...

Jul312 07:18 PM
Luccas

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.
...

Dec2712 12:05 PM
HassanEE

5 
4,036 
Can someone give me a qualitative example of the uniqueness theorem of a first order linear differential equation? I...

Dec2512 07:20 AM
HallsofIvy

1 
1,175 
What is the solution of the follwoing differential equation
\frac{\partial^{2}y}{\partial...

Dec2212 02:01 PM
JulieK

2 
1,164 
What is the logic behind equating differential equations to zero? For example the equation
y''5y'+6y=0
Because it...

Dec2212 07:49 AM
HallsofIvy

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...

Dec2212 07:28 AM
bjnartowt

2 
854 
Why we always write equation in form
y''(x)+a(x)y'(x)+b(x)=f(x)
Why we never write:...

Dec2112 10:56 AM
HallsofIvy

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...

Dec2112 03:11 AM
tinytim

3 
977 
This may be vague, so I apologize.
I am interested in applied mathematics, so my question is about the process a...

Dec2012 02:41 PM
bigfooted

1 
983 
Hello, i have a problem solving this ecuation
dy/dx=(2*x*y3*x^2*y^3)/(x^3+2*y*x^2)
im using mathematica and...

Dec1912 04:59 PM
mariano2

0 
891 
1. The problem statement, all variables and given/known data
General solution for eccentric spheres, smaller...

Dec1812 10:38 PM
gparker267

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...

Dec1812 05:35 PM
pasmith

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...

Dec1812 07:14 AM
Chestermiller

13 
2,175 
Is there a way to "crudely" approximate PDEs with Fourier series?
By saying crudely, I meant this way:
Assuming...

Dec1712 08:01 PM
chiro

1 
839 
Question:
Show that the system
x'= xyx
y'= x+y y
has at least one periodic orbit.
I know that I need...

Dec1612 04:14 PM
pasmith

1 
1,000 
hello, everyone. Recently I confront with the integral differential equations(ide's) in my research. Anyone can help...

Dec1612 09:40 AM
Mute

3 
1,236 
Use the orthogonality relation of Bessel function to argue whether the following two integrals are zero or not:...

Dec1512 01:33 AM
samuelandjw

4 
1,772 
http://img22.imageshack.us/img22/9595/capturecv.png
This image is from Thomas's calculus, 10th edition, chapter 9...

Dec1312 07:47 PM
Chestermiller

4 
1,183 
I was busy doodling and basically ended up constructing this differential equation:
p'(t)=c(t)p(t)c(tT)p(tT)
...

Dec1212 12:32 PM
euroazn

3 
1,011 
Hello everybody!
While solving some physical problem I got stuck with some system of integral equations.
The...

Dec1212 09:30 AM
jannyhuggy

1 
893 
What form should the particular solution of a 2nd order linear non homogeneous differential equation take when the...

Dec1112 07:43 AM
CraigH

2 
897 
I want to know the which is more advantageous when it comes to solving nonlinear hyperbolic equations, Finite Element...

Dec1112 03:23 AM
vijay0

0 
810 
Use finite difference method to solve for eigenvalue E from the following second order ODE:
 y'' + (x2/4) y = E y...

Dec1012 02:41 PM
EigenCake

10 
2,103 
Folks,
To date I have been reading about Euler Bernoulli Beam and Timoshenko Beam Theory desribed by the following...

Dec1012 01:35 PM
bugatti79

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...

Dec912 11:31 AM
Mute

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
...

Dec912 05:34 AM
pasmith

3 
969 
hi;
I have 3 hyperbolic electrodes ,one as a ring and 2 others as endcap
electrodes which have potential v and 0...

Dec812 11:56 AM
mfb

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...

Dec812 03:25 AM
Woopydalan

8 
1,412 
I am just wondering the author is doing in this calculation step.
Given ##\displaystyle \rho A \frac {\partial^2...

Dec712 01:03 PM
bugatti79

5 
1,114 
Folks,
Given the pde ## \displaystyle k\frac{\partial^2 T}{\partial x^2}=\rho c_0 \frac{\partial T}{\partial t}##...

Dec712 01:01 PM
bugatti79

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....

Dec612 06:08 PM
HomogenousCow

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
...

Dec612 04:30 PM
LagrangeEuler

0 
920 
solved please delete

Dec512 07:04 PM
SeannyBoi71

0 
943 
Hello Everybody,
I'm trying to plot the frequency spectrum of RIN using Matlab.
I've the following code
...

Dec512 11:00 AM
mido41854

0 
913 
Assume that f(0) = 0 and Df(0) has eigenvalues with negative real parts. Con
struct a Lyapunov function to show that...

Dec512 06:32 AM
pasmith

2 
1,023 
The ODE to solve via variation of parameters is ##(1x)y''+xy'y=(1x)^2##.
Knowing that ##e^x## and ##x## are...

Dec412 08:28 PM
fluidistic

2 
880 
Hi. I just came back from my diffeq midterm and was surprised to see a problem with the Riemannzeta equations on it....

Dec412 06:48 AM
AlephZero

4 
1,287 
When numerically solving a differential equation with boundary conditions, I create a roster of n+1 points and solve a...

Dec212 09:48 AM
Max.Planck

0 
790 
I have a quick question.
I have to write the differential equations in matrix form
Eq1:= x1'(t) = a1*x1(t) +...

Dec212 09:47 AM
Tala.S

3 
758 
I have to derive equations of motion from Lagrangian and stumbled upon the following system of equations (constants...

Dec112 10:36 AM
arildno

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...

Nov3012 10:59 PM
fluidistic

14 
2,328 