Solve:

y3y+2y=6t7\displaystyle {y}{''}-{3}{y}'+{2}{y}={6}{t}-{7}
y(0)=1, y(0)=1\displaystyle {y}{\left({0}\right)}={1},\ {y}'{\left({0}\right)}={1}

y(t)\displaystyle {y}{\left({t}\right)} =