y"(t)+3y'(t)+2y(t)=3The aux. equationp^2+3p+2 =0(p+2)(p+1)=0p=-2 or -1letyg =Ae^(-2t)+Be^(-t)yp = Cyp'=yp''=0yp"(t)+3yp'(t)+2yp(t)=32C =3C=3/2y(t) = yg+ ypy(t) =Ae^(-2t)+Be^(-t) + 3/2
