Solve the Given Differential Equation Subject to the Specified Initial $\frac { d y } { d t } = \frac { \cos t } { 9 y } ; y ( 0 ) = 3$

Multiple Choice

Solve the given differential equation subject to the specified initial condition. $\frac { d y } { d t } = \frac { \cos t } { 9 y } ; y ( 0 ) = 3$

A) $y ( t ) = 3 - \sqrt { \frac { 2 } { 9 } \sin t }$
B) $y ( t ) = 3 + \sqrt { \frac { 2 } { 9 } \sin t }$
C) $y ( t ) = \sqrt { \frac { 2 } { 9 } \sin t + 9 }$
D) $y ( t ) = \sqrt { 9 - \frac { 2 } { 9 } \sin t }$