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MATLAB Question The nonlinear system f = @(x) [ x(1)^2-x(2)^2+2*x(2); 2*x(1)+x(2)^2-6; ]; fp = @(x) [ 2*x(1), -2*x(2)+2; 2, 2*x(2); ]; has two solutions, (0.625204094,

MATLAB Question

The nonlinear system

f = @(x) [ x(1)^2-x(2)^2+2*x(2); 2*x(1)+x(2)^2-6; ];

fp = @(x) [ 2*x(1), -2*x(2)+2; 2, 2*x(2); ];

has two solutions, (0.625204094, 2.179355725)^T and (2.109511920, -1.334532188)^T.

Use the continuation method and Eulers method with N=2 to approximate the solutions where x(0) = (0, 0)^T x(0) = (1, 1)^T x(0) = (3, -2)^T

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