Answer:
Part a)
Part b)
Check the attached figure to see the ultimate behavior of the graph.
Part c)
The level = 25, Amplitude = 0.2499
Step-by-step Solution:
Part a)
Given:
Rate in:
Rate out:
So, the differential equation would become:
Rewriting the equation:
As is the coefficient of , while is the constant term in the right side of the equation:
First it is important to determine the function :
The general solution then would become:
Evaluate at
Solve to c:
Therefore, the general solution then would become:
Part b) <em>Plot the Solution to see the ultimate behavior of the graph</em>
The graph appears to level off at about the value of .
The graph is attached below.
Part c)
In the graph we note that the level is .
Therefore, the level = 25
The amplitude is the (absolute value of the) coefficient of in the general solution (as the coefficient of the sine part is a lot smaller):
Therefore,
Keywords: differential equation, word problem
Learn more about differential equation word problem from brainly.com/question/14614696
#learnwithBrainly