(a)
To sketch: The graph of the solution to the given initial value problem.
(a)
Answer to Problem 48E
The graph is:
Explanation of Solution
Given information:
The differential equation is:
And
Calculation:
by resolving its anti derivative, one must locate the differential equation's general solution. At this time,
Put the initial condition
To determine the specific solution of the differential equation, substitute the value of
When a curve is discontinuous, the initial condition only provides with the portion of the curve that is continuous and traverses the given point. Consequently, only graph the right half of the piece that passes through when
(b)
To explain The given graph is not the correct answer to part
(b)
Answer to Problem 48E
Because the graph also includes the section of the graph to the left of
Explanation of Solution
Given information:
The graph is:
Explain:
The initial condition only provides with the portion of the graph that traverses the point when a curve is discontinuous. At
Chapter 6 Solutions
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