Concept explainers
a.
To solve : the differential equation.
a.
Answer to Problem 23E
The solution of differential equation is
Explanation of Solution
Given information :
The differential equation is
Calculation : here the equation is separable, so write the equation in the terms of differentials and then
Here
Hence, the solution of differential equation is
b.
To solve : the differential equation and graph the solution by using graphing calculator.
b.
Answer to Problem 23E
The solution of differential equation is
Explanation of Solution
Given information :
The differential equation is
Calculation : here the equation is separable, so write the equation in the terms of differentials and then integrate both sides,
Here
Since
Hence, the solution of differential equation is
Using implicit plotting capability of a CAS to graph the curve
The graph is obtained as:
c.
To state : thatthe initial-value problem have the solution
c.
Answer to Problem 23E
No,
Explanation of Solution
Given information :
The differential equation is
here the equation is separable, so write the equation in the terms of differentials and then integrate both sides,
Here
Since
Hence, the solution of differential equation is
To check the solution substitute
No,
Chapter 7 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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