SOLUTION: 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

Question 1184078: 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 70000 volumes of knowledge at time 0, write an initial volume problem for the amount of knowledge the civilization possesses:
Answer= (equation)=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, do this in a way so that the highest order derivative has a positive coefficient.

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!

The IVP to solve is , or , subject to K(0) = 70,000.

(Solving this IVP will lead to the answer .)
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