Solution of a simple Differential Equation

  • Thread starter gabrown
  • Start date
8
0

Main Question or Discussion Point

Hi,

I was wondering if anyone could help me solve or even know the type of the differential equation below

d2x/dt2= k*dy/dt


Sorry
I also have

d2y/dt2= -k*dx/dt

where k is a constant.

I need it to find the position x when looking at a particle going through a magnetic field.

Thanks very much

Gareth
 
Last edited:

Answers and Replies

279
0
Are you sure about the equation? It has two dependent variables, x and y as functions of t. Because you only have one equation this seems strange.
 
8
0
Edited.
 
Hootenanny
Staff Emeritus
Science Advisor
Gold Member
9,598
6
In that case I would suggest differentiating the first ODE with respect to t and then substituting it into the second. Upon substitution, you will obtain a third order homogenous ODE in y which can be solved trivially.
 
279
0
I just got the solution on paper. You're too fast Hootenanny...
 
8
0
Cheers guys, I think i understand (think i was being a bit dumb) getting confised about my boundary conditions.
 
Top