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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
95 121,182
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
1 25,830
Hi guys! im getting stuck in solving the following Linear Partial Differential Equation: 2p+3q=x+y+1 now...
Sep14-06 04:57 AM
1 5,997
Ok, so I am dealing with a critically damped oscillator in which the natural frequency(w) of the oscillator is equal...
Feb3-04 07:05 AM
2 5,981
Hello! I got one question for you. How come that (f \circ g)'(x) = f'(g(x)) g'(x) ? Since (f \circ...
Aug10-11 12:25 AM
11 5,975
Hi Can any one please help me to solve the quasilinear partial differential equation: ...
Jan14-08 06:20 PM
0 5,958
How to use power series to solve this non-linear differential equation?
Aug11-08 09:47 AM
Matthew Rodman
3 5,907
In my research, I'm using a modified version of the wave equation: \ I would like to take this PDE,...
Apr19-09 06:44 PM
3 5,898
Hi everyone, I need some help solving a bessel function of the 1st order. The equation is used to calculate the mutual...
May10-09 09:33 AM
5 5,896
Hi everyone... I need to solve the differential equations of a RC circuit given a voltage and a current pulse. I...
Jul3-10 01:17 PM
3 5,891
Hey, I have no idea where to start, for this question. I know that I will probably have to use vector and scalar...
Jun21-05 02:53 PM
2 5,877
Hello i have a question : dx/dt=(a*x)+(b*y)+(c*z) dy/dt=(d*x)+(e*y)+(f*z) dz/dt=(g*x)+(h*y)+(i*z)
Oct15-05 05:26 AM
17 5,875 I would like to build a logistic differential equation for US oil...
Feb19-08 03:18 PM
5 5,870
I feel so embarrased asking this question, but this is the place to get answers. I have a 2nd order ODE with a...
Jan29-05 11:12 AM
4 5,865
Hi, I am solving a second order ODE. the result I got is an exponential to the power of a real and an imaginary part,...
May11-05 03:48 PM
7 5,862
I am reading a text about Laplace transform in solving differential equations. Seems that this method is so powerful....
Jun11-09 12:42 PM
4 5,860
How do i find the inverse laplace transform of s/(s-2)^2
Jul21-07 03:07 PM
2 5,856
To calculate a p.d.f. of a r.v., I need to integral a product of two bessel function as \mathcal{L}^{-1} \left(...
Jul29-08 12:13 AM
1 5,849
1.Use implicit differentiation to find the equation of the tangent line to the curve xy^3+xy=16 at the point (8,1) ....
Oct22-07 11:39 PM
1 5,843
How i can solve a system of 6 first order differential equations by using numerical techniques like Euler method,...
Jul1-05 11:27 AM
2 5,837
Hi All, I have a differntial equation that I came up with on a little engineering problem posted here...
Aug23-06 07:43 PM
4 5,804
Hi! I have a serious problem solving the following system of differential equations: ...
Nov24-04 07:01 PM
Dr Transport
7 5,791
I am having trouble with some of my homework. I am not quite sure how to find the damping ratio from a third order...
Sep7-11 11:42 PM
0 5,791
Well, i realy i am pissed at the moment because of this. I have been trying to figure out if there is a...
Sep24-10 02:27 AM
16 5,788
Hi all. Can someone briefly explain the difference between finite difference methods and spectral methods? What are...
Jan10-08 05:08 AM
1 5,788
can anyone give me the most simple for someone with little diffrential equations back ground, on the proof for where...
Oct10-04 05:36 PM
7 5,755
Hi, I'm trying to find an analytical solution of Laplace's equation: \phi_{xx} + \phi_{tt} = 0 with the...
Dec8-07 06:37 PM
4 5,751
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
5 5,731
I'm stuck on what to do here. The question reads Consider a population P(t) satisfying the logistic equation dP/dt =...
Apr8-09 06:25 PM
4 5,729
Hi, I am currently taking a class which is now covering PDE's and I think I need more sample or example problems that...
Nov14-06 09:35 AM
Einstein Mcfly
2 5,728
I am sure most of you are familiar with the equation: m(x)''+c(x)'+k(x) = 0. Then, we create an auxillary equation...
Oct6-07 12:37 PM
2 5,709
For a second order linear differential homogeneous equation, if the two solution y1 and y2 is a multiple of one...
Feb10-09 09:54 PM
4 5,697
Can anyone tell me in which real-life situations are the Cauchy-Euler equations present??? :confused:
Dec6-05 01:27 AM
5 5,672
i cant seem to figure this out... if the differential equation dy/dx= y-2y^2 has a solution curve y=f(x)...
Apr8-07 06:31 PM
3 5,617
Hello, I have a Jacobian matrix A = \left( \begin{array}{cc} -2x+1-a_{1}y & -a_{1}x \\ -a_{2}ry &...
Mar30-09 05:22 PM
0 5,604
why does the general solution to the euler-cauchy equation only work for x>0?
Oct18-05 07:41 AM
2 5,597
I have 15 equations with 15 unknowns describing a dynamic process. I would like to know how I can conbine solving...
Mar8-08 11:29 PM
John Creighto
5 5,589
i have been told that dA=R dR d(theta), what does mean exactly in terms of pi. the shape is a semicircle. Does this...
Sep18-05 06:51 PM
17 5,579
Hi all, I have another post on here relating to Fick's law of diffusion, but before I asked that I really should...
Jan29-08 03:36 AM
2 5,572
As part of a separable solution to a PDE, I get the following ODE: X''-rX=0 (*), with -infty<x<infty and the...
Jul18-06 04:26 PM
5 5,556
How would you express one function as Linear combination of other? For example the following sets {1,x+2,3x-5}...
Feb13-07 11:08 AM
2 5,556
Everybody knows one dimensional wave equation \frac{\partial^2u}{\partial t^2} = c^2 \frac{\partial^2u}{\partial x^2}...
Apr27-10 09:06 AM
1 5,552

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