Find the function y$=$y$($x$)$y$=$y$($x$)($for x$>0$x$>0)$ which satisfies the separable differential equation

dydx$=5+11$xxy$2$;$$x$>0$dydx$=5+11$xxy$2$;$$x$>0$

with the initial condition y$(1)=4$y$(1)=4.$

y$=$