In Problems 11 through 14, use the method of Example 4 to find two linearly independent power series solutions of the given differential equation. Determine the radius of convergence of each series, and identify the general solution in terms of famil- iar elementary functions. 11. y = y 13. y" +9y=0 12. y" = 4y 14. y + y = x

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Chapter1: Functions And Models
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In Problems 11 through 14, use the method of Example 4 to find
two linearly independent power series solutions of the given
differential equation. Determine the radius of convergence of
each series, and identify the general solution in terms of famil-
iar elementary functions.
11. y = y
13. y" +9y=0
12. y" = 4y
14. y + y = x
Transcribed Image Text:In Problems 11 through 14, use the method of Example 4 to find two linearly independent power series solutions of the given differential equation. Determine the radius of convergence of each series, and identify the general solution in terms of famil- iar elementary functions. 11. y = y 13. y" +9y=0 12. y" = 4y 14. y + y = x
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