It's been a long time since I've had to derive the differentialequations for an RL circuit so any help is greatly appreciated.

The blood flow thorough a vascular bed is determined by thepressure drop across the bed and the biochemical properties of thevessels in the bed. A simple mode (see figure) assumes that theinflow artery can be described by lumped parameters representingflow resistance Ra and wall compliance Ca. The capillaries of thevascular bed are assumed to be noncompliant; therefore, the bed isdescribed by a net flow resistance Rc. Relative to the arterialpressure, P, pressure in the venous outflow is assumed to be zero.The arterial pressure, P, on the other hand, can be assumed as thesum of a mean pressure Pm plus the variation about the mean due tothe heartbeat. A simple approximation for the arterial pressurewould be: P = Pm + P0*cos(w0*t).

On paper, derive analytically the differential equation describinghow the blood flow Q2 through the bed changes as a function of thearterial pressure P. (10 pts)
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