Differential Equations Preview

d(A)=k1·A
d(B)=k1·Ak2·B
d(C)=k2·B
k1=1
k2=2
Boundaries
A|1
B|0
C|0
t|0:3

Program validated. Ready to Solve.
# 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 Minimal Maximal Final Value
1A10.0497910.049787067
2B000.24940.04730832
3C000.90290.9029046
4t0033
Chart 1
Chart

Data Table (37 records)


#tABC
10100
20.0157506170.98437280.0153830140.00024421012
30.036390030.964264150.034458820.0012770524
40.065225560.936856150.0591567270.0039871493
50.101699610.90330090.0873484240.0093507245
60.145421760.86465750.117024880.01831758
70.19614360.82189420.146384120.03172167
80.253729340.77590180.173878210.050220013
90.318135830.727503960.198241950.07425409
100.389400570.67746280.218506950.10403021
110.467635720.62648170.23400240.1395159
120.55302680.575206160.244344060.1804498
130.64583510.52422460.249413190.22636223
140.74583510.4743380.24934150.2763205
150.84583510.429198770.244987230.32581398
160.94583510.38835510.237535460.37410942
171.04583510.351398230.227917570.4206842
181.14583520.317958270.216860860.46518087
191.24583510.287700530.204928980.5073705
201.34583510.26032220.19255460.5471232
211.44583510.235549290.180065860.58438486
221.54583510.213133810.167707820.6191584
231.64583520.192851440.15565980.6514888
241.74583510.17449920.144049260.68145156
251.84583510.15789340.13296310.7091435
261.94583510.142867860.122456650.73467547
272.0458350.12927220.112560910.7581669
282.14583520.116970310.103288270.7797414
292.2458350.105839110.094637210.79952365
302.34583520.095767190.086595850.81763697
312.4458350.086653740.079144880.8342014
322.5458350.078407540.0722598060.84933263
332.64583520.070946080.065912740.8631412
342.7458350.0641946640.060073720.8757316
352.84583520.0580857360.054711790.8872025
362.9458350.052558150.0497957950.89764607
3730.0497870670.047308320.9029046
Raw data presented with 37 records.

Constant Values

Constantk1k2
Value12

Settings and Hints

 Name/SourceValueType
1 Total number of equations 5 Setting
2 Number of differential equations 3 Setting
3 Number of explicit equations 2 Setting
4 Reporting digits 10 Setting
5 Minimal License Free - 2 Setting
6 Elapsed time 0.042 ms Setting
7 Solution method RKF_45 Setting
8 Step size guess. h 0.1 Setting
9 Truncation error tolerance. eps 0.000001 Setting
10 Good steps 42 Setting
11 Bad steps 0 Setting
12 Calculated Intermediate data points 50 Setting
13 Version 7.0.73 Setting
14 #@chart_size = 428,300 Default (array2)
15 #@chart_interpolate = 2 Default (integer)
16 #@chart_curve_width = 2 Default (integer)
17 #@report_fix_digits = 8 Default (integer)
18 #@report_show_charts = true Default (boolean)
19 #@report_show_data_points = true Default (boolean)
20 #@report_show_intermediate_data_points = true Default (boolean)
21 #@report_show_source = true Default (boolean)
22 #@report_show_header = false Default (boolean)
23 #@report_show_settings = true Default (boolean)
24 #@chart_all_curves = false Default (boolean)
25 #@chart_curves_stiff_grouping_percent = 50 Default (integer)
26 #@chart_y_curves = Default (array2)
27 #@chart_log_scales = 000 Default (string)

Messages

 SeverityDescription
1Info-Infor- Differential variables (3) ; A, B, C
2Info-Infor- Explicit variables (2) ; k1, k2
3Info-Infor- Independent variable = t

Source

# 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