Determining Exponential Growth and Decay in Exercise, use the given information to write an exponential equation for y. Does the
function represent exponential growth or exponential decay?
dy/dt = 5.2y, y = 18 when t = 0
1 answer:
Answer:

Exponential growth
Step-by-step explanation:
We can solve this differential equation by the separation of variables method.
We have that:

So

Integrating both sides

In which K is the value of y when t = 0.
We apply the exponential to both sides, so:

This is our exponential equation. Since the power of e is a positive value, the function represents exponential growth.
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