Concept explainers
a.
To graph:
To graph the given initial value problem
a.
Answer to Problem 48E
Explanation of Solution
Given information:
The given initial value problem is
Graph:
Now to find the general solution by finding the anti-derivative.
Now substituting the initial condition of
Substitute the value of c into the general solution to find the particular solution of the differential equation.
So the solution of the initial value problem is
Interpretation:
When a curve is discontinuous, the initial condition only gives us the continuous piece of the curve that passes through the given point.
Therefore, when the graph
b.
To Show:
To show that the given graph is not the correct answer of part (a).
b.
Answer to Problem 48E
The given graph is an incorrect graph to part (a).
Explanation of Solution
Given information:
The given graph is
Proof:
When a curve is discontinuous, the initial condition only gives you the part of the graph that passes through that point.
The curve has a discontinuity at
The graph is incorrect because it also includes the portion of the graph to the left of
Hence, the given graph is not correct to part (a).
Chapter 7 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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