Problem 2, Chapter 2 from Shuler and Kargi  Solution by Krishnan Chittur ([email protected])
I have added some comments to help you understand the Maple Calculations
restart is like starting Maple all over again  so any assignments you may have made are wiped out
>
restart;
Start writing down the equations first and then solve them.
Notice that Maple differentiates between :=
and =
(one has a colon before the equal to and is the assignment statement (which is different from the equal
to sign))
After you set up the equations, we solve them 
>
eq1:= k[1]*E(t)*S(t)+k[2]*E(t)*P(t)k[1]*ES(t)k[2]*ES(t)=0;
:=
eq1
=
+


k
1
( )
E
t
( )
S
t
k
2
( )
E
t
( )
P
t
k
1
( )
ES
t
k
2
( )
ES
t
0
>
eq2:=rate=k[2]*ES(t)k[2]*E(t)*P(t);
:=
eq2
=
rate

k
2
( )
ES
t
k
2
( )
E
t
( )
P
t
>
eq3:=ES(t)=E[0]E(t);
:=
eq3
=
( )
ES
t

E
0
( )
E
t
Now solve for E(t) from equation 1  We use the function called solve from Maple  what we are
doing here is
to solve equation 1 for E(t)  In maple, you can solve an equation for any of the variables you like 
Maple will rearrange
the equations and solve explicitly for the variable if it can 
>
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 Fall '09
 Equals sign, k2, k1 + k2

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