If A =PDP- '. where P i~ an inveltible matrix and D is a diagonal matrix. then the solution of y' = Ay 1s p- z. where z is a s

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