## Consider the equation

This is my trouble:
$x^{,}=-x^{2011}+tx\\x(0)=x_{0}$
a) Show that saturated solutions (in right) are defined for any ray [0,infinity]
b)Show if $x_{0}\neq{0}$, then saturated solutions (in left) to blowed up in complete time and give a valution according to $x_{0}$
Thank you for help
(sorry for error)