A solution for a system of differential equations?

${x}_{1}^{\prime}=1/5\phantom{\rule{thickmathspace}{0ex}}{x}_{1}+4/5\phantom{\rule{thickmathspace}{0ex}}{x}_{2}$

${x}_{2}^{\prime}=4/5\phantom{\rule{thickmathspace}{0ex}}{x}_{1}+1/5\phantom{\rule{thickmathspace}{0ex}}{x}_{2}$

${x}_{1}(0)=1$, ${x}_{2}(0)=3$

${x}_{1}^{\prime}=1/5\phantom{\rule{thickmathspace}{0ex}}{x}_{1}+4/5\phantom{\rule{thickmathspace}{0ex}}{x}_{2}$

${x}_{2}^{\prime}=4/5\phantom{\rule{thickmathspace}{0ex}}{x}_{1}+1/5\phantom{\rule{thickmathspace}{0ex}}{x}_{2}$

${x}_{1}(0)=1$, ${x}_{2}(0)=3$