Find u\displaystyle {u} from the differential equation and initial condition.

dudt=e3.1t3u,  u(0)=1.7.\displaystyle \frac{{{d}{u}}}{{{\left.{d}{t}\right.}}}={e}^{{{3.1}{t}-{3}{u}}},\ \ {u}{\left({0}\right)}={1.7}.

u=\displaystyle {u}=