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synergix
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Homework Statement
The fish population in a lake is attacked by a disease at time t=0 with the result that the size P(t) of the population at time t:
dP/dt= -k*sqrt(P)
where k is a positive constant. If there were initially 90,000 fish in the lake and 40,000 were left after 6 weeks, when will the fish population be reduced to 10,000?
The Attempt at a Solution
integrate [(90,000->40,000) dP/sqrt(P)] = integrate [(0->t)-kdt]
then set t= 6 and solve for k
this was a question on a test I did not know how to do could you tell me if I am on the right track?