Solve the Differential Equation with the Given Initial Condition $y ^ { \prime } = \frac { x } { y ^ { \prime } } y ( 3 ) = 5$

Multiple Choice

Solve the differential equation with the given initial condition.
- $y ^ { \prime } = \frac { x } { y ^ { \prime } } y ( 3 ) = 5$

A) y = $\sqrt { x ^ { 2 } + 9 }$
B) y = ± $\sqrt { x ^ { 2 } + 16 }$
C) y = ± $\sqrt { x ^ { 2 } + 9 }$
D) y = $\sqrt { x ^ { 2 } + 16 }$