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
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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
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