Exponential Growth /Decay Model Given exponential growth or decay the amoun tP after time tis gi

Celia Horne

Celia Horne

Answered question

2022-01-29

Exponential Growth /Decay Model
Given exponential growth or decay the amoun tP after time tis given by the following formula:
P=P0ekt
Here P0 is the initial amount and k is the exponential growth/decay rate.
Now you are ready to complete the following:
a) As stated previously the statement - The rate of change of variable y is proportional to the value of y-describes a differential equation. Write this differential equation.

Answer & Explanation

Rosa Nicholson

Rosa Nicholson

Beginner2022-01-30Added 13 answers

a) The rate of change of variable y is proportional to the value of y.
Let dydxdydx be the rate of change of the variable y.
Then, as per the question dydx proportional to ydydx proportional to y.
that is, dydxdydx =Ky
where, K is the constant of proportionality.
Hence the differential equation is dydxdydx=Ky, where K is the constant of proportionality.

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