Solve the Differential Equation with the Given Initial Condition $y ^ { \prime } = \tan t \sec ^ { 2 } t ; y ( 0 ) = 1$

Multiple Choice

Solve the differential equation with the given initial condition.
- $y ^ { \prime } = \tan t \sec ^ { 2 } t ; y ( 0 ) = 1$

A) y = ln $| \tan \mathrm { t } |$ + 1
B) y = $\frac { \tan ^ { 2 } \mathrm { t } } { 2 }$ + 1
C) y = tan t + 1
D) y = $\frac { \sec ^ { 2 } t } { 3 }$ + $\frac { 2 } { 3 }$