2.1.7.5 ✓ Mathematica. Time used: 0.001 (sec). Leaf size: 6

ode=D[x[t],t]==x[t]^2-3*x[t]+2; 
ic={x[0]==1}; 
DSolve[{ode,ic},x[t],t,IncludeSingularSolutions->True]
 

\begin{align*} x(t)&\to 1 \end{align*}