Solve the initial value problem

y3y10y=7e2x,y(0)=1,y(0)=17\displaystyle {y}{''}-{3}{y}'-{10}{y}={7}{e}^{{-{2}{x}}},{y}{\left({0}\right)}={1},{y}'{\left({0}\right)}=-{17}



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