Use Power Series to Solve the Differential Equation $$y ^ { t} = 4 x y$$

Multiple Choice

Use power series to solve the differential equation.
$$y ^ { t} = 4 x y$$

A)
$$y ( x ) = c e ^ { - \frac { 4 x ^ { 2 } } { 2 } }$$
B)
$$y ( x ) = c e ^ { \frac { 4 x ^ { 2 } } { 2 } }$$
C)
$$y ( x ) = e ^ { - \frac { x ^ { 2 } } { 2 } }$$
D) $y ( x ) = c e ^ { 4 x }$
E)
$$y ( x ) = 4 e ^ { \frac { x ^ { 2 } } { 2 } }$$