Concept explainers
In Problems 1 and 2 answer true or false without referring back to the text.
1. The general solution of x2y″ + xy′ + (x2 − 1)y = 0 is y = c1J1(x) + c1J−1 (x) ________
Whether the given statement is true or false.
Answer to Problem 1RE
The given statement is
Explanation of Solution
Calculation:
Consider the Bessel’s equation of order 1,
Since
So, there exists at least one solution of the form
Substitute the equation (1) in above expression,
From above the identical equation is
The identical roots are
So,
Thus, the general solution of
Therefore, the given statement is
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Chapter 6 Solutions
Bundle: Differential Equations with Boundary-Value Problems, 9th + WebAssign Printed Access Card for Zill's Differential Equations with Boundary-Value Problems, 9th Edition, Single-Term
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