# Phase trajectory.

• Apr 22nd 2010, 06:03 PM
hmmmm
Phase trajectory.
du/dt = uv dv/dt = u
find general solution to du/dv
find phase trajectory of (u,v) passing through (1,0) when t=0
find v(t) on this phase trajectory

thanks for any help
• Apr 22nd 2010, 06:43 PM
Diemo
Quote:

Originally Posted by hmmmm
du/dt = uv dv/dt = u
find general solution to du/dv
find phase trajectory of (u,v) passing through (1,0) when t=0
find v(t) on this phase trajectory

thanks for any help

$\frac{du}{dt}=uv. \frac{dv}{dt}=u$

Now, simply use $\frac{du}{dv}=\frac{\frac{du}{dt}}{\frac{dv}{dt}}$ to obtain dv/dt.

If you need more help let me know.
• Apr 23rd 2010, 10:40 AM
hmmmm
thanks, i think i've got the first three parts but im not too sure what its asking when it asks find v(t) on this phase trajectory, thanks for the help