If A =PDP- '. where P i~ an inveltible matrix and D is a

MATH 23 WEEK 2 NOTES MODELING WITH DIFF EQ Solvent-solute mixture problems: goal is to compute the amount (Q(t)) of solvent in the tank at the time t. ) = − Assumptions:  Volume of water (V(t)) is constant if rate in = rate out  Concentration of solvent is constant  Mixture is well stirred  Concentration of inflow = c lb/gal  Concentration of outflow is c(t) lb/gal ) = ) Units are impor