Solve these differential equations of the two-compartment model and show that the solution is at the bottom. dXa dt dX dt -ka Xa = ka Xa-ke X Multiply both sides by eket dX dt and use (Xeket)' = -eket +Xkeket

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Practice question 1
Solve these differential equations of the two-compartment model
and show that the solution is at the bottom.
dXa
dt
dX
dt
C =
= -ka Xa
= ka Xa-ke X
ka Xa
V(ka-ke)
-(e-ket - e-kat)
Multiply both sides by eket
and use (Xekt)=X+Xkeekt
dX
dt
Transcribed Image Text:Practice question 1 Solve these differential equations of the two-compartment model and show that the solution is at the bottom. dXa dt dX dt C = = -ka Xa = ka Xa-ke X ka Xa V(ka-ke) -(e-ket - e-kat) Multiply both sides by eket and use (Xekt)=X+Xkeekt dX dt
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,