The Solution of the Differential Equation $y ^ { \prime } = x ^ { 2 } y$

Multiple Choice

The solution of the differential equation $y ^ { \prime } = x ^ { 2 } y$ is

A) $y = c e ^ { x ^ { 2 } }$
B) $y = c e ^ { x ^ { 3 } }$
C) $y = c + e ^ { x ^ { 2 } }$
D) $y = c e ^ { x ^ { 3 } / 3 }$
E) $y = c + e ^ { x ^ { 3 } / 3 }$