Examine the system of equations.
1 answer:
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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.
The function has a domain that goes from [0,∞]
And a range that goes from [-∞,0]
(See attached graph)
And a range that goes from [-∞,0]
(See attached graph)