The knowledge that a civilization can amass in a year is proportional to the knowledge it currently posses. If K(t) is the knowledge that a certain civilization possesses at time t, this civilization can add 10% to its knowledge each year, and this civilization possesses $25000$ volumes of knowledge at time 0, write an initial volume problem for the amount of knowledge the civilization possesses:
$= 0$
$K(0) =$
Note: use K,K' instead of K(t), K'(t) in your answers. After you set up your differential equation you will have to set it equal to zero so that WeBWorK will understand your answer, do this in a way so that the highest order derivative has a positive coefficient.