jawaban 5-b

2
POLYMATH Results 11-22-2015, Rev5.1.233 Calculated values of the DEQ variables Variable initial value minimal value maximal value final value Z 0 0 5 5 X 0 0 0.9999701 0.9999701 ODE Report (RKF45) Differential equations as entered by the user [1] d(X)/d(Z) = 2.22*(1-X)/(1+0.15*X)^0.5 Explicit equations as entered by the user Independent variable variable name : Z initial value : 0 final value : 5 Precision Step size guess. h = 0.000001 Truncation error tolerance. eps = 0.000001 General number of differential equations: 1 number of explicit equations: 0 Z X 2.663 102 0.996 224

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Page 1: Jawaban 5-B

POLYMATH Results 11-22-2015, Rev5.1.233

Calculated values of the DEQ variables

Variable initial value minimal value maximal value final value Z 0 0 5 5 X 0 0 0.9999701 0.9999701

ODE Report (RKF45)

Differential equations as entered by the user [1] d(X)/d(Z) = 2.22*(1-X)/(1+0.15*X)^0.5

Explicit equations as entered by the user

Independent variable variable name : Z initial value : 0 final value : 5

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

General number of differential equations: 1 number of explicit equations: 0

Z X2.66310

20.99622

42.70310

20.99652

42.78310

20.99705

5

Page 2: Jawaban 5-B

2.823102

0.997289

2.863102

0.997505

2.903102

0.997703

2.983102

0.998054

3.023102

0.998208

3.063102

0.998351

3.103102

0.998482

3.183102

0.998713

3.223102

0.998816

3.263102 0.99891

3.303102

0.998997

3.383102 0.99915

3.423102

0.999217

3.463102

0.999279

3.503102

0.999337