Use Power Series to Solve the Differential Equation $$( x - 10 ) y ^ { \prime } + 2 y = 0$$

question 25

Multiple Choice

Use power series to solve the differential equation. $$( x - 10 ) y ^ { \prime } + 2 y = 0$$

• A) \[y ( x ) = c _ { 0 } \sum _ { n = 0 } ^ { \infty } \frac { x ^ { n } } { 10 ^ { n } }\]
• B) \(y ( x ) = c _ { 0 } \sum _ { n = 0 } ^ { \infty } \frac { n + 1 } { 10 ^ { n } } x ^ { n }\)
• C) \(y ( x ) = c _ { 0 } \sum _ { n = 0 } ^ { \infty } \frac { ( n + 1 ) } { x ^ { n } }\)
• D) \[y ( x ) = c _ { 0 } \sum _ { n = 0 } ^ { \infty } ( n + 1 ) x ^ { n }\]
• E) \(y ( x ) = c _ { 0 } \sum _ { n = 0 } ^ { \infty } \frac { n x ^ { n } } { 10 ^ { n } }\)

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