Solve the Initial Value Problem for X as a Function $$( t + 4 ) \frac { d x } { d t } = x ^ { 2 } + 1 , \quad t > - 4 , x ( 1 ) = \tan 1$$

Multiple Choice

Solve the initial value problem for x as a function of t.
- $$( t + 4 ) \frac { d x } { d t } = x ^ { 2 } + 1 , \quad t > - 4 , x ( 1 ) = \tan 1$$

A) $x = \tan [ \ln | t + 4 | - \ln 5 ]$
B) $x = \tan [ \ln | t + 4 | - \ln 5 + 1 ]$
C) $x = \tan ^ { - 1 } [ \ln | t + 4 | - \ln 5 + 1 ]$
D) $x = \frac { 1 } { t + 4 } - \frac { 1 } { t - 5 }$