Equations (1.1) and (1.2) are linear differential equations for a drug delivery system. + 5x -y = 0 Equation (1.1) Equation (1.2) dx dt dy dt (d) - 4x + 2y = 0 (a) Is the system homogenous or non-homogenous? State your reason. (b) Derive the two-compartment model represented by the differential equations. (c) Construct a general solution (x(t) and y(t)) to the system. Solve for x(t) and y(t) if the initial conditions at t = 0 (s) are x(0)=1 and y(0)=2, respectively.

Equations (1.1) and (1.2) are linear differential equations for a drug delivery system. + 5x -y = 0 Equation (1.1) Equation (1.2) dx dt dy dt (d) - 4x + 2y = 0 (a) Is the system homogenous or non-homogenous? State your reason. (b) Derive the two-compartment model represented by the differential equations. (c) Construct a general solution (x(t) and y(t)) to the system. Solve for x(t) and y(t) if the initial conditions at t = 0 (s) are x(0)=1 and y(0)=2, respectively.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 12CR

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