There are eight equations associated with this problem. Below are the first four equations where H

is the head of the pump as a function of VA$,$ b is a constant and fcn is short for function of$.="$

$=*,.!!$

$=*,.$ $$$$

$=*,.\%\%$

$=+!$$$\%$

The assignment for the first part of the problem is to write down the other three equations. The first equation is the steady flow equation from point $(1)$ to point $(2).$

The second equation is the steady flow equation from point $(1)$ to point $(3).$

The third equation is the steady flow equation from point $($J$)$ to point $(2).$

The variables are: H$,$ d$,,$ LA$,$ LB$,$ LC$,$ Kvalve, PJ$,$ P$1,$ P$2,$ P$3,,$ g$.$ P$1=$ P$2=$ P$3=$ Patm