> rk2:=proc(f1, f2, a, ya1, ya2,h,N) > local t ,w1, w2, i, k11, k12, k13, k14, k21, k22, k23, k24; > > t := a; > w1[0] := ya1; > w2[0] := ya2; > > for i from 0 to N-1 do > k11 := evalf(h*f1(t, w1[i], w2[i])); > k21 := evalf(h*f2(t, w1[i], w2[i])); > > k12 := h*f1(t+h/2, w1[i]+k11/2, w2[i]+k21/2); > k22 := h*f2(t+h/2, w1[i]+k11/2, w2[i]+k21/2); > > k13 := h*f1(t+h/2, w1[i]+k12/2, w2[i]+k22/2); > k23 := h*f2(t+h/2, w1[i]+k12/2, w2[i]+k22/2); > > k14 := h*f1(t+h, w1[i]+k13, w2[i]+k23); > k24 := h*f2(t+h, w1[i]+k13, w2[i]+k23); > > w1[i+1] := w1[i] + (k11+2*(k12+k13)+k14)/6; > w2[i+1] := w2[i] + (k21+2*(k22+k23)+k24)/6; > > t := t + h > end do; > return(w1, w2) > end proc;