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    Elementary Differential Equations
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    Exam 5: Series Solutions of Second-Order Linear Equations
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    Consider the Second-Order Differential Equation
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Consider the Second-Order Differential Equation

Question 68

Question 68

Multiple Choice

Consider the second-order differential equation Consider the second-order differential equation   . Which of these is the indicial equation about the regular singular point x = 0? A)  r<sup>2</sup> - 9r - 16 = 0 B)  r<sup>2</sup> - 7r + 16 = 0 C)  r<sup>2</sup> + 7r + 16 = 0 D)    + 8r - 16 = 0 E)    - 8r + 16 = 0 .
Which of these is the indicial equation about the regular singular point x = 0?


A) r2 - 9r - 16 = 0
B) r2 - 7r + 16 = 0
C) r2 + 7r + 16 = 0
D) Consider the second-order differential equation   . Which of these is the indicial equation about the regular singular point x = 0? A)  r<sup>2</sup> - 9r - 16 = 0 B)  r<sup>2</sup> - 7r + 16 = 0 C)  r<sup>2</sup> + 7r + 16 = 0 D)    + 8r - 16 = 0 E)    - 8r + 16 = 0 + 8r - 16 = 0
E) Consider the second-order differential equation   . Which of these is the indicial equation about the regular singular point x = 0? A)  r<sup>2</sup> - 9r - 16 = 0 B)  r<sup>2</sup> - 7r + 16 = 0 C)  r<sup>2</sup> + 7r + 16 = 0 D)    + 8r - 16 = 0 E)    - 8r + 16 = 0 - 8r + 16 = 0

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