POLYMATH Results 04-27-2015, Rev5.1.233

Calculated values of the DEQ variables

Variable initial value minimal value maximal value final value t 0 0 0.001 0.001 x 0 0 0.9975756 0.9975756 a 1 0.9984026 1 0.9984026 w 5 5 5 5 kt 20 20 20 20 kd 1.6 1.6 1.6 1.6 pto 1 1 1 1 v 1 1 1 1 R 0.082 0.082 0.082 0.082 T 735 735 735 735 pt 1 0.0024244 1 0.0024244 rt -20 -20 -0.0484099 -0.0484099 nto 0.016592 0.016592 0.016592 0.016592

ODE Report (RKF45)

Differential equations as entered by the user [1] d(x)/d(t) = -rt*w/nto [2] d(a)/d(t) = -kd*a^2

Explicit equations as entered by the user [1] w = 5 [2] kt = 20 [3] kd = 1.6 [4] pto = 1 [5] v = 1 [6] R = 0.082 [7] T = 735 [8] pt = pto*(1-x) [9] rt = -kt*pt*a [10] nto = pto*v/(R*T)

Independent variable variable name : t initial value : 0 final value : 0.001

Precision Step size guess. h = 0.000001 Truncation error tolerance. eps = 0.000001

General number of differential equations: 2 number of explicit equations: 10