Nonlinear Equation Solution
| Variable | Value | f(x) | Initial value | Initial f(x) | |
|---|---|---|---|---|---|
| 1 | x | 20 | 2.3e-11 | 99.31 | 3.8e+4 |
| 2 | t | 20 | 168.4 |
Root Finding Plot
Settings and Hints
| Name/Source | Value | Type | |
|---|---|---|---|
| 1 | Number of equations | 2 | Setting |
| 2 | Implicit equations | 1 | Setting |
| 3 | Explicit equations | 1 | Setting |
| 4 | Elapsed time | 0.000 ms | Setting |
| 5 | Solution method | Brent | Setting |
| 6 | Tolerance F | 1e-7 | Setting |
| 7 | Max iterations | 150 | Setting |
| 8 | #@chart_size = 428,300 | Default (array) | |
| 9 | #@report_fix_digits = 8 | Default (integer) | |
| 10 | #@report_show_source = true | Default (boolean) | |
| 11 | #@report_show_header = false | Default (boolean) | |
| 12 | #@report_show_charts = true | Default (boolean) | |
| 13 | #@report_show_settings = true | Default (boolean) | |
Messages
| Severity | Description | |
|---|---|---|
| 1 | Info | -Infor- Implicit variables (1) x |
| 2 | Info | -Infor- Explicit variables (1) t |
| 3 | Info | -Infor- All variables (2) t, x |
Source
# Example 6 - Single NLE
# Solve the nonlinear equation: x*log(x/2) + 4*x^2 = 1620
# Verified Solution x = 20
f(x) = t + 4*x^2 - 1620
t = x*log(x/2)
x(min) = 0.1
x(max) = 100
# Solve the nonlinear equation: x*log(x/2) + 4*x^2 = 1620
# Verified Solution x = 20
f(x) = t + 4*x^2 - 1620
t = x*log(x/2)
x(min) = 0.1
x(max) = 100