I've got a question that I am stumped on right now
Show that if the Galactic angular velocity \Omega
of an interstellar cloud is > sqrt(4piG\rho/3), the cloud can not collapse in the radial direction. Estimate \Omega and compare it to the rotation rate of the Galaxy.
alright think I've got it Cf(t)^1/f'(t) + Kf(t)^(-b/f'(t))
where K is the constant of integration and from there just got to plug in the intial conditions and solve for K
yeah f is another constant, I've taken diff eq before, this is for a mathematical physics class, I just can't seem to get it down to a recognizable form that I know how to differentiate
Homework Statement
Find x=x(t) given x(0) = -V0
(V0 + (a - b)t)(dx/dt) = (V0 + (a - b)t)a(2f-1) -bx
a and b are lambda in and lambda out
The Attempt at a Solution
Honestly don't know where to start that's why I came and asked it here .
The only thing I can think of is to make...