Consider the two connected tanks shown below, where the F$$s represent the volumetric flowrates.

a$)$ Assuming that F$2$ is given by $2=1$

$,$ where k is a constant

i$.$ Develop dynamic models for H$1$ and H$2$

ii$.$ Could you apply deviation variable format, Taylor series expansion, or both? Why?

iii. Based on your answer on ii$,$ use deviation variable format, Taylor series expansion, or both,

as applicable in both differential equations.