Solve the Differential Equation $$y ^ { tt } - 9 x y ^ { t } = 0$$

question 10

Multiple Choice

Solve the differential equation $$y ^ { tt } - 9 x y ^ { t } = 0$$

• A) \(y = a _ { 0 } + a _ { 1 } \sum _ { n = 0 } ^ { \infty } \frac { 9 ^ { n } x ^ { 2 n + 1 } } { 2 ^ { n } n ! }\), where \(a _ { 0 }\) and \(a _ { 1 }\) are arbitrary constants
• B) \(y = a _ { 0 } + a _ { 1 } \sum _ { n = 0 } ^ { \infty } \frac { 9 ^ { n + 1 } x ^ { 2 n } } { 2 ^ { n } ( 2 n + 1 ) ! }\), where \(a _ { 0 }\) and \(a _ { 1 }\) are arbitrary constants
• C) \(y = a _ { 0 } + a _ { 1 } \sum _ { n = 0 } ^ { \infty } \frac { 9 ^ { n } x ^ { 2 n + 1 } } { 2 ^ { n } n ! ( 2 n + 1 ) }\), where \(a _ { 0 }\) and \(a _ { 1 }\) are arbitrary constants
• D) \(y = a _ { 0 } + a _ { 1 } \sum _ { n = 0 } ^ { \infty } \frac { 9 ^ { n + 1 } x ^ { 2 n } } { 2 ^ { n } n ! }\), where \(a _ { 0 }\) and \(a _ { 1 }\) are arbitrary constants
• E) \(y = a _ { 0 } + a _ { 1 } \sum _ { n = 0 } ^ { \infty } \frac { 9 ^ { n + 1 } x ^ { 2 n + 1 } } { 2 ^ { n } n ! ( 2 n + 1 ) }\), where \(a _ { 0 }\) and \(a _ { 1 }\) are arbitrary constants

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