Which of the following is the differential equation whose solution is \[y = A { e }^{ x } \]

\[2y = y'' { x }^{ 2 } \] \[2y = -y'' { x }^{ 2 } \] \[2y' = y'' { x }^{ 2 } \] \[-2y = y'' { x }^{ 2 } \]

\[2y = y'' { x }^{ 2 } \]

y'' = 2A