# NLE System: Solve 2 nonlinear equations:
# 2*x + x*y - y^2 = -290
# 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

Nonlinear Equations Preview

f (x) = 2 \cdot x + x \cdot y - y^{2} + 290

f (y) = x \cdot \log_{10} (\frac{y}{2}) + x \cdot y - 105

Initial Guess Values

x (0) = 2

y (0) = 10

Program validated. Ready to Solve.

Nonlinear Equations Solution

	Variable	Value	f(x)	Initial Guess	Initial f(x)
1	x	5	-2.8e-12	2	2.1e+2
2	y	20	1.3e-12	10	-8.4e+1

Settings and Hints

	Name/Source	Value	Type
1	Number of equations	2	Setting
2	Implicit equations	2	Setting
3	Explicit equations	0	Setting
4	Elapsed time	0.00 sec	Setting
5	Solution method	safenewt	Setting
6	Max iterations	150	Setting
7	Tolerance F	1e-7	Setting
8	Tolerance X	1e-7	Setting
9	Tolerance min	1e-7	Setting
10	#@report_fix_digits = 8		Default (integer)
11	#@report_show_source = true		Default (boolean)
12	#@report_show_header = false		Default (boolean)
13	#@report_show_settings = true		Default (boolean)

Messages

	Severity	Description
1	Info	-Infor- Implicit variables (2) x, y
2	Info	-Infor- All variables (2) x, y

Nonlinear Equations Solution

Settings and Hints

Messages

Source