Problem 14-13-f

Calculated values of DEQ variables

	Variable	Initial value	Minimal value	Maximal value	Final value
1	a	0.93	0.93	0.93	0.93
2	C1	0.02	7.465E-08	0.02	7.465E-08
3	C2	0	0	0.0080946	1.075E-07
4	E	0	0	0.0809462	1.075E-06
5	Et	0	0	0.443293	0.0001075
6	Et2	0	0	5.594346	0.0107546
7	k1	0.1	0.1	0.1	0.1
8	k2CA0	0.1	0.1	0.1	0.1
9	t	0	0	100.	100.
10	tau	10.	10.	10.	10.
11	v	10.	10.	10.	10.
12	X1	0	0	0.9999546	0.9999546
13	X1E	0	0	0.0309204	1.075E-06
14	X2	0	0	0.9090909	0.9090909
15	X2E	0	0	0.0255554	9.777E-07

Differential equations

1	d(C2)/d(t) = 2*(a+1)/tau*(C1-C2)
2	d(C1)/d(t) = 2*a*C2/tau-2*(a+1)/tau*C1

Explicit equations

1	a = 0.93
2	tau = 10
3	v = 10
4	E = v*C2
5	Et = E*t
6	Et2 = E*t^2
7	k2CA0 = 0.1
8	k1 = 0.1
9	X1 = 1-exp(-k1*t)
10	X2 = k2CA0*t/(1+k2CA0*t)
11	X1E = X1*E
12	X2E = X2*E

General

Total number of equations	14
Number of differential equations	2
Number of explicit equations	12
Elapsed time	0.000 sec
Solution method	RKF_45
Step size guess. h	0.000001
Truncation error tolerance. eps	0.000001

Data file: h:\coursework\che-7250\hw solutions-4th ed\14-13-f.pol