2.1.11.8 Mathematica. Time used: 0.004 (sec). Leaf size: 10
ode=D[x[t],t]==2*Sqrt[x[t]]; 
ic={x[0]==1}; 
DSolve[{ode,ic},x[t],t,IncludeSingularSolutions->True]
 
\begin{align*} x(t)&\to (t+1)^2 \end{align*}