The Solution of the Differential Equation $y ^ { \prime } y ^ { \prime \prime } = 4$

Multiple Choice

The solution of the differential equation $y ^ { \prime } y ^ { \prime \prime } = 4$ is

A) $y = \left( 8 x + c _ { 1 } \right) ^ { 3 / 2 } / 24 + c _ { 2 }$
B) $y = \left( 4 x + c _ { 1 } \right) ^ { 3 / 2 } / 12 + c _ { 2 }$
C) $y = \left( 4 x + c _ { 1 } \right) ^ { 3 / 2 } / 24 + c _ { 2 }$
D) $y = \left( 8 x + c _ { 1 } \right) ^ { 1 / 2 } / 12 + c _ { 2 }$
E) $y = \left( 8 x + c _ { 1 } \right) ^ { 3 / 2 } / 12 + c _ { 2 }$