Find the Logistic Equation That Satisfies the Following Differential Equation $\frac { d y } { d t } = 3.4 y \left( 1 - \frac { y } { 53 } \right) , y ( 0 ) = 13$

Multiple Choice

Find the logistic equation that satisfies the following differential equation and initial condition.
$\frac { d y } { d t } = 3.4 y \left( 1 - \frac { y } { 53 } \right) , y ( 0 ) = 13$

A)
$$y = \frac { 53 } { 1 + \frac { 40 } { 13 } e ^ { - 3.4 t } }$$
B)
$$y = \frac { 53 } { 1 + \frac { 40 } { 13 } e ^ { 3.4 t } }$$
C)
$$y = \frac { 53 } { 1 + \frac { 66 } { 13 } e ^ { - 3.4 t } }$$
D)
$$y = \frac { 53 } { 1 + \frac { 66 } { 13 } e ^ { 3.4 t } }$$
E) none of the above