D’Alembert’s reduction principle

mathrocks
Messages
105
Reaction score
0
Hey guys, I'm stuck on this problem! I have no idea how to even go about solving it. I tried searching the net for D'Alembert's principle but nothing was helpful. Any suggestions on how to go about solving it will be much appreciated!

Find with the aid of D’Alembert’s reduction principle the FS of the ODE system.

x1(t)= x1(t)/t - x2(t)

x2(t)= x1(t)/t2+ 2x2(t)/2

for which a particular solution x(t)=(t2, -t) is known.
 
Physics news on Phys.org
Is this an ODE System or algebric equations System?

What is FS (sorry I don't know :P)?
 
elibj123 said:
Is this an ODE System or algebric equations System?

What is FS (sorry I don't know :P)?


this is an ODE. FS stands for fundamental system.
 
There are no derivatives, therefore this is not a ODE. Secondly (t^2,-t) is not a solution.
Missing derivatives, and the second line should be,
x_2' = x_2/t^2 + 2 x_2/t
 
Last edited:
that's the point,
(t^2,-t) is the solution of the algebric equations (as he written them)
so I'm a bit confused
 
Mathrocks, do you mean
dx1(t)/dt= x1(t)/t - x2(t)

dx2(t)/dt= x1(t)/t2+ 2x2(t)/2
 
Back
Top