Example: Nonlinear Systems
The example below demonstrates how to use the Nonlinear Systems program
Example
Find the intersection of the following functions with an allowable error of 0.0001 and a limit of 25 iterations.( x - 1 )2 + ( y - 1 )2 + ( z - 1 )2 - 6 = 0
( x + 1 )2 + ( y + 1 )2 + ( z + 1 )2 - 6 = 0
yz2 + x3 = 0
Let x = x1, y = x2 and z = x3.
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| Enter the functions (The program counter should equal 0088 when you have entered all the functions.) | [ LEARN ] { 1st } [ 2nd ] [ LBL ] [ 2nd ] f 1 [ ( ] [ ( ] [ RCL ] 001 [ - ] 1 [ ) ] [ x2 ] [ + ] [ ( ] [ RCL ] 002 [ - ] 1 [ ) ] [ x2 ] [ + ] [ ( ] [ RCL ] 003 [ - ] 1 [ ) ] [ x2 ] [ - ] 6 [ ) ] [ 2nd ] [ RTN ] [ 2nd ] [ LBL ] [ 2nd ] f 2 [ ( ] [ ( ] [ RCL ] 001 [ + ] 1 [ ) ] [ x2 ] [ + ] [ ( ] [ RCL ] 002 [ + ] 1 [ ) ] [ x2 ] [ + ] [ ( ] [ RCL ] 003 [ + ] 1 [ ) ] [ x2 ] [ - ] 6 [ ) ] [ 2nd ] [ RTN ] [ 2nd ] [ LBL ] [ 2nd ] f 3 [ ( ] [ RCL ] 002 [ x ] [ RCL ] 003 [ x2 ] [ + ] [ RCL ] 001 [ yx ] 3 [ ) ] [ 2nd ] [ RTN ] [ LEARN ] |
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| Select the program. | [ RUN ] { MTH } { --> } { --> } { NON } |
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| Enter the number of functions | 3 { n } |  |
| Enter the allowable error | .0001 { err } |  |
| Enter the iteration limit | 25 { #it } |  |
| Proceed with program | { EOD } |  |
| Enter initial x1 | 1 [ +/- ] { ENT } |
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| Enter initial x2 | 1 { ENT } |  |
| Enter initial x3 | 0 { ENT } |  |
| Proceed with program | { NO } |  |
| { NXT } |  |
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| { NXT } |  |
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