Solution of a simple Differential Equation

[gabrown]

Hi,

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

d²x/dt²= k*dy/dtSorry
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

 

[coomast]

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.

 

[gabrown]

Edited.

 

[Hootenanny]

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.

 

[coomast]

I just got the solution on paper. You're too fast Hootenanny...

 

[gabrown]

Cheers guys, I think i understand (think i was being a bit dumb) getting confised about my boundary conditions.