# Example 9 - NLE System
# Simultaneous linear and nonlinear equations
# Verified Solution: a=1.00011, b=2.00055, c=3.00066, d=3.99967, e=4.99964
f(c) = 3.8907-ln(6*c)-a
f(a) = a+b-c
b = 5*a-3
d = 2*c+4-3*b
e = sin(d*7.5*3.1416/180)/0.1
c(0) = 2
a(0) = 2
Calculated values
| |
Variable |
Value |
f(x) |
Initial Guess |
Initial f(x) |
| 1 |
a |
1.0001094 |
-8.9E-16 |
2 |
7.0E00 |
| 2 |
c |
3.0006565 |
9.5E-15 |
2 |
-5.9E-01 |
| |
Variable |
Value |
Initial Value |
| 1 |
b |
2.0005471 |
7 |
| 2 |
d |
3.9996717 |
-13 |
| 3 |
e |
4.9996385 |
-9.9144434 |
Formatted equations
Nonlinear equations
| 1 |
f(c) = 3.8907-ln(6*c)-a = 0 |
| 2 |
f(a) = a+b-c = 0 |
Explicit equations
| 1 |
b = 5*a-3 |
| 2 |
d = 2*c+4-3*b |
| 3 |
e = sin(d*7.5*3.1416/180)/0.1 |
General Settings
| Total number of equations |
5 |
| Number of implicit equations |
2 |
| Number of explicit equations |
3 |
| Elapsed time |
0.00 sec |
| Reporting digits |
10 |
| Solution method |
safenewt |
| Max iterations |
150 |
| Tolerance F |
1E-07 |
| Tolerance X |
1E-07 |
| Tolerance min |
1E-07 |