(dH/dt)=k(68-H) find the general solution for the differential equation

1 answer:

Anni [7]2 years ago

4 0

DH/dt=k(68-H)
1/(68-H)dH=kt assuming k is a constant
ln|68-H|=kt+C (*)
we have all H satisfying (*)

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posledela

Answer:

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Step-by-step explanation:

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2 years ago

victus00 [196]

Answer:

29 years

Step-by-step explanation:

Given the function $f(x)= 200(0.5)^{\frac{x}{50} }$ , where x stands for the number of years since the material was put into the vault, we can plug 140 into x to find the amount leftover.
Another way of doing this is to change the function to $f(x)=200(0.5^{\frac{1}{50} })^{x}$ which are equivalent functions, and then plug 140 into x. This function is helpful if you also needed to find the rate.
I'll use the 1st function because the question doesn't ask for the rate