Concept explainers
Determine the intervals for which Theorem
a.
b.
(a)
The intervals for which Theorem
Answer to Problem 1RP
Solution:
Explanation of Solution
Given:
The given differential equation is
Approach:
Theorem
Suppose
So, here we will find the interval in which
Calculation:
Now
So,
Therefore
Conclusion:
Hence, the interval in which the theorem guarantees unique solution of the problem is
(b)
The intervals for which Theorem
Answer to Problem 1RP
Solution:
Explanation of Solution
Given:
The given differential equation is
Approach:
We will find the interval in which coefficient of given differential equation are continuous.
Calculation:
Simplifying the given differential equation
Here
So,
Therefore,
Conclusion:
Hence, the interval in which the theorem guarantees unique solution are
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Chapter 6 Solutions
Fundamentals of Differential Equations and Boundary Value Problems
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage