$\text { Use a power series to solve the differential equation } y ^ { t } - 3 y = 0 \text {. }$

Multiple Choice

$\text { Use a power series to solve the differential equation } y ^ { t } - 3 y = 0 \text {. }$

A) $y = a _ { 0 } + e ^ { 3 x }$ , where $a _ { 0 }$ is an arbitrary constant
B) $y = a _ { 0 } e ^ { 3 x }$ , where $a _ { 0 }$ is an arbitrary constant
C) $y = a _ { 0 } e ^ { x }$ , where $a _ { 0 }$ is an arbitrary constant
D) $y = 3 + a _ { 0 } e ^ { z }$ , where $a _ { 0 }$ is an arbitrary constant
E) $y = a _ { 0 } + 3 e ^ { 3 x }$ , where $a _ { 0 }$ is an arbitrary constant