Consider the logistic equationy$=$y$(1$y$)($a$)$ Find the solution satisfying y$1(0)=10$ and y$2(0)=4.$

y$1($t$)=$

$109$et$1+109$et$$

y$2($t$)=$

$45$et$1+45$et$$

$($b$)$ Find the time t when y$1($t$)=5.$

t$=($c$)$ When does y$2($t$)$ become infinite?

t $=$