Question

In: Math

5. The population of certain small organism grows according to the model: dy/dt = 5y where...

5. The population of certain small organism grows according to the model: dy/dt = 5y where y=20 when t=0

t is measured in months. a) Construct the specific function for y. b) Find how many in the population of this organism after 8 months. c) Determine how many months until there are 228 of this organism. Round to the nearest 0.1

Expert Solution

PART(a):

The given DE is,

integrating on both sides,

where A is an integration const.

To find A, we have y(0) = 20,

Now the final solution becomes,

PART(b):

put t = 8,

PART(c):

put y(t) = 228,

rounding off to 1 decimal

I hope this answer helps,
Thanks,
Keep posting questions.

milcah answered 3 years ago

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