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

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