a.
To state: A formula for the function
a.
Answer to Problem 35E
The formula is not possible without using the integral.
Explanation of Solution
Given information:
It is given that the initial value problem is
Consider the given initial value:
It is not possible to find a formula for y without involving any integrals.
Therefore, the formula is not possible.
b.
To state: A power series that represent
b.
Answer to Problem 35E
The resultant answer is
Explanation of Solution
Given information:
It is given that the initial value problem is
Consider the initial value
Yes, the power series for y can be obtained. Power series generated by the function
Replacing
The constant term of y is
By substituting
c.
To state: The value of
c.
Answer to Problem 35E
The power series equals the function y for all real
Explanation of Solution
Given information:
The given statement says to state the value of
Consider the initial value
Since the series for
Therefore, the series obtained by integrating also converges for all
By theorem 2, thus the power series equals the function y for all real
Chapter 9 Solutions
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