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lda committed 2025-06-14 03:52:53 +00:00
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%% Ex. 1: solve for min of x^3 e^-x.
options=optimset('Display','Iter','TolFun',1e-8);
f1 = @(x) x.^3 .* exp(-x)
[x, fv, e, o] = fminbnd(f1, 1, 5, options);
disp("its: " + o.iterations)
fplot(f1, [1 4])
%% Ex2: min of xy e(-(x2+y2))
f2 = @(xy) xy(1).*xy(2).*exp(-(xy(1).^2+xy(2).^2))
[x, fv, e, o] = fminsearch(f2, [1 -1], options);
disp("its: " + o.iterations)
fsurf(@(x, y)f2([x, y]), [-2 2 -2 2])
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function yprime_val = yprime(t,y)
% ODE function for Exercise 5
yprime_val = t.^2 + y; %
end