The characteristic equation is given by

\({r}^{2}+{2}{r}+{1}={0}\)

and has the roots \(r_1=11 and r_2=1\).

The general solution is given by

\({y}={e}^{x}{\left({c}_{{1}}+{c}_{{2}}{x}\right)}\), where c_1 and c_2 are arbitracy constant.

\({r}^{2}+{2}{r}+{1}={0}\)

and has the roots \(r_1=11 and r_2=1\).

The general solution is given by

\({y}={e}^{x}{\left({c}_{{1}}+{c}_{{2}}{x}\right)}\), where c_1 and c_2 are arbitracy constant.