# Example 8 - NLE System
# Solve a system of 2 nonlinear equations:
# [1] 2*x + x*y - y^2 = -290
# [2] x*log(y/2) + x*y = 105
# Verified Solution: x=5, y=20
f(x) = 2*x + x*y - y^2 + 290
f(y) = x*log(y/2) + x*y - 105
x(0) = 2
y(0) = 10
Calculated values
| |
Variable |
Value |
f(x) |
Initial Guess |
Initial f(x) |
| 1 |
x |
5 |
-2.5E-12 |
2 |
2.1E02 |
| 2 |
y |
20 |
1.3E-12 |
10 |
-8.4E01 |
Formatted equations
Nonlinear equations
| 1 |
f(x) = 2*x + x*y - y^2 + 290 = 0 |
| 2 |
f(y) = x*log(y/2) + x*y - 105 = 0 |
General Settings
| Total number of equations |
2 |
| Number of implicit equations |
2 |
| Number of explicit equations |
0 |
| 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 |