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... equation, we see that y0 = 0 implies that C = 0, so y(t) = 0 for all t Otherwise, y(t) > 0 for all t or y(t) < 0 for all t Therefore, if y0 > 0 and jy=(y 4)j = Ce2t 2 =3 ! 1, we must have ... using L'H^opital's rule, For an example, let g(t) = 2 + e t Assume a 6= 1 Let us look for a solution of the form y = ce at +Ae t +B Substituting a function of this form into the di erential ... = ln(2)=8 8:66% Trang 33(d) For part (b), we get 72=8 = 9 years For part (c), we get 72=8 = 9% ln(2) 0:693, or 69:3 for the percentage calculation A possible reason for choosing 72 is that it
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