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c4 differential equations!!!

Liquid is pouring into a container at a constant rate of 30cm3s?1. At time t seconds liquid is leaking from the container at a rate of (2/15 )V cm3s?1, where V cm3 is the volume of liquid in the container at that time.

Show that ?15dV/dt=2V?450 ( done that its easy)

given v=1000 when t=0
b) find the solution of the differential equation, in the form v=f(t)

c) find the limiting value of v as t reaches infinity

helpppppppppppp

for b) i integrate and get -15/2 ln 2v-450= t-15/2 ln550 but i dont think this is right :s-smilie: