Concept explainers
To fill: The blank in the statement, “The only solution of the initial-value problem
Answer to Problem 1CR
The only solution of the initial value problem
Explanation of Solution
Theorem used:
The existence of a Unique Solution:
For a nth order initial value problem
If
Calculation:
Consider the initial value problem
Compare the equation to the standard form of differential equation
Note that,
The initial value
By the existence of unique solution, the general solution of the initial value problem
Therefore, the only solution of the initial value problem
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Chapter 3 Solutions
Advanced Engineering Mathematics
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