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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT 256 14 "WORKED EXAMPLE" }}{PARA 
0 "" 0 "" {TEXT -1 30 "Consider the nonlinear system\n" }{OLE 1 4112 
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"" 0 "" {TEXT -1 29 "First load the package linalg" }}}{EXCHG {PARA 0 
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{TEXT -1 30 "Enter the equations as follows" }}}{EXCHG {PARA 0 "> " 0 
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1 0 10 "g:=-y+x^2;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 36 "The equilib
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23 "solve(\{f=0,g=0\},\{x,y\});" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
41 "The equilibrium points are( , ) and ( , )" }}}{EXCHG {PARA 0 "" 0 
"" {TEXT -1 107 "To find the Jacobian matrix of the system of equation
s first represent the equations as a vector as follows" }}}{EXCHG 
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" {TEXT -1 26 "Use the \"jacobian\" command" }}}{EXCHG {PARA 0 "> " 0 
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49 "The linearisation at the point (2,4) is therefore" }}{PARA 0 "" 0 
"" {TEXT -1 22 "                      " }{OLE 1 4112 1 "[xm]Br=WfoRrB:
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