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1. ### Galactic angular velocity of interstellar cloud

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.
2. ### Diff eq problem

thanks really appreciate the help
3. ### Diff eq problem

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 gotta plug in the intial conditions and solve for K
4. ### Diff eq problem

the integrating factor should be e^\int b/f(t) = f(t)^b/f'(t)
5. ### Diff eq problem

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
6. ### Diff eq problem

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...