# Example 10 - ODE System
# Set of consecutive reactions. Verified Final
# A,B,C Values: 0.049787, 0.047308 , 0.902905
A' = -k1*A
B' = k1*A - k2*B
C' = k2*B
k1 = 1
k2 = 2
A|1
B|0
C|0
t|0:3
Calculated values
|
Variable |
Initial value |
Minimal value |
Maximal value |
Final value |
1 |
A |
1 |
0.04978707 |
1 |
0.04978707 |
2 |
B |
0 |
0 |
0.24994676 |
0.04730832 |
3 |
C |
0 |
0 |
0.90290462 |
0.90290462 |
4 |
k1 |
1 |
1 |
1 |
1 |
5 |
k2 |
2 |
2 |
2 |
2 |
6 |
t |
0 |
0 |
3 |
3 |
Integration chart

Formatted equations
Differential equations
1 |
d(A)/d(t) = -k1*A |
2 |
d(B)/d(t) = k1*A - k2*B |
3 |
d(C)/d(t) = k2*B |
Explicit equations
General
Total number of equations |
5 |
Number of differential equations |
3 |
Number of explicit equations |
2 |
Reporting digits |
10 |
Elapsed time |
0.00 sec |
Solution method |
RKF_45 |
Step size guess. h |
1E-06 |
Truncation error tolerance. eps |
1E-06 |
Calculated Intermediate data points |
50 |
Calculated data points
|
t |
A |
B |
C |
k1 |
k2 |
1 |
0 |
1 |
0 |
0 |
1 |
2 |
2 |
0.12726121 |
0.88050364 |
0.10521698 |
0.01427938 |
1 |
2 |
3 |
0.18901368 |
0.82777518 |
0.14256343 |
0.02966139 |
1 |
2 |
4 |
0.26157595 |
0.7698374 |
0.17718778 |
0.05297482 |
1 |
2 |
5 |
0.30188983 |
0.73941952 |
0.19267829 |
0.06790219 |
1 |
2 |
6 |
0.39065893 |
0.67661089 |
0.21880859 |
0.10458051 |
1 |
2 |
7 |
0.43865893 |
0.6449007 |
0.22900379 |
0.12609551 |
1 |
2 |
8 |
0.48665893 |
0.61467665 |
0.23684927 |
0.14847408 |
1 |
2 |
9 |
0.58265893 |
0.55841162 |
0.24658808 |
0.1950003 |
1 |
2 |
10 |
0.63065893 |
0.53224098 |
0.24896052 |
0.2187985 |
1 |
2 |
11 |
0.67865893 |
0.50729686 |
0.24994676 |
0.24275638 |
1 |
2 |
12 |
0.72665893 |
0.48352178 |
0.24972847 |
0.26674975 |
1 |
2 |
13 |
0.82265893 |
0.43926214 |
0.24631091 |
0.31442695 |
1 |
2 |
14 |
0.87065893 |
0.41867558 |
0.24338634 |
0.33793808 |
1 |
2 |
15 |
0.91865893 |
0.39905384 |
0.23980988 |
0.36113628 |
1 |
2 |
16 |
0.96665893 |
0.3803517 |
0.23568429 |
0.38396401 |
1 |
2 |
17 |
1.0626589 |
0.34553583 |
0.22614082 |
0.42832334 |
1 |
2 |
18 |
1.1106589 |
0.32934188 |
0.22087581 |
0.44978232 |
1 |
2 |
19 |
1.1586589 |
0.31390687 |
0.21536935 |
0.47072378 |
1 |
2 |
20 |
1.2066589 |
0.29919524 |
0.20967745 |
0.4911273 |
1 |
2 |
21 |
1.3026589 |
0.27180811 |
0.19792846 |
0.53026342 |
1 |
2 |
22 |
1.3506589 |
0.2590695 |
0.19195249 |
0.54897801 |
1 |
2 |
23 |
1.3986589 |
0.24692789 |
0.18595451 |
0.5671176 |
1 |
2 |
24 |
1.4466589 |
0.23535532 |
0.17996319 |
0.58468149 |
1 |
2 |
25 |
1.5426589 |
0.21381184 |
0.16809634 |
0.61809183 |
1 |
2 |
26 |
1.5906589 |
0.20379128 |
0.1622604 |
0.63394832 |
1 |
2 |
27 |
1.6386589 |
0.19424036 |
0.15651104 |
0.6492486 |
1 |
2 |
28 |
1.6866589 |
0.18513705 |
0.15086132 |
0.66400163 |
1 |
2 |
29 |
1.7826589 |
0.16819035 |
0.13990235 |
0.6919073 |
1 |
2 |
30 |
1.8306589 |
0.1603079 |
0.13460928 |
0.70508282 |
1 |
2 |
31 |
1.8786589 |
0.15279488 |
0.1294486 |
0.71775652 |
1 |
2 |
32 |
1.9266589 |
0.14563396 |
0.12442471 |
0.72994133 |
1 |
2 |
33 |
2.0226589 |
0.13230321 |
0.11479907 |
0.75289771 |
1 |
2 |
34 |
2.0706589 |
0.12610266 |
0.11020078 |
0.76369656 |
1 |
2 |
35 |
2.1186589 |
0.12019271 |
0.10574642 |
0.77406087 |
1 |
2 |
36 |
2.1666589 |
0.11455973 |
0.1014358 |
0.78400447 |
1 |
2 |
37 |
2.2626589 |
0.10407339 |
0.09324212 |
0.80268448 |
1 |
2 |
38 |
2.3106589 |
0.09919587 |
0.08935605 |
0.81144809 |
1 |
2 |
39 |
2.3586589 |
0.09454693 |
0.08560781 |
0.81984526 |
1 |
2 |
40 |
2.4066589 |
0.09011588 |
0.08199501 |
0.82788912 |
1 |
2 |
41 |
2.5026589 |
0.08186703 |
0.07516482 |
0.84296815 |
1 |
2 |
42 |
2.5506589 |
0.07803023 |
0.07194152 |
0.85002825 |
1 |
2 |
43 |
2.5986589 |
0.07437325 |
0.06884187 |
0.85678488 |
1 |
2 |
44 |
2.6466589 |
0.07088766 |
0.0658626 |
0.86324974 |
1 |
2 |
45 |
2.7426589 |
0.06439889 |
0.06025167 |
0.87534944 |
1 |
2 |
46 |
2.7906589 |
0.06138076 |
0.05761316 |
0.88100609 |
1 |
2 |
47 |
2.8386589 |
0.05850407 |
0.05508135 |
0.88641458 |
1 |
2 |
48 |
2.8866589 |
0.05576221 |
0.05265278 |
0.89158501 |
1 |
2 |
49 |
2.9826589 |
0.05065796 |
0.04809173 |
0.90125031 |
1 |
2 |
50 |
3 |
0.04978707 |
0.04730832 |
0.90290462 |
1 |
2 |