📄 m_chap2_ex1_1.m
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t0=0; tN=20; y0=[0;0.25]; h=0.001;
t = t0:h:tN; N = length(t);
j = 1;
for i = 1:N
t1 = t0 + h;
K1 = m_chap2_ex1_1_sub(t0, y0);
K2 = m_chap2_ex1_1_sub(t0 + h/2, y0 + h*K1/2);
K3 = m_chap2_ex1_1_sub(t0 + h/2, y0 + h*K2/2);
K4 = m_chap2_ex1_1_sub(t0 + h, y0 + h*K3);
y1 = y0 + (h/6)*(K1 + 2*K2 + 2*K3 + K4);
yy1(j)=y1(1); yy2(j)=y1(2);
t0=t1;
y0=y1;
j=j+1;
end
t=0:h:tN;
subplot (121), plot(t,yy1,t,yy2); grid
subplot (122), plot(yy1,yy2); grid
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